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Finding the Fourth Proportional to 10,974,681.80, 16,462,022.70 and 9,463,027.40

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Solution

The fourth proportional to 10,974,681.80, 16,462,022.70 and 9,463,027.40 is: 14,194,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,681.80 : 16,462,022.70 = 9,463,027.40 : x
  2. Step 2: Convert to fraction form
    10,974,681.80/16,462,022.70 = 9,463,027.40/x
  3. Step 3: Cross multiply
    10,974,681.80x = 16,462,022.70 × 9,463,027.40
  4. Step 4: Simplify right side
    10,974,681.80x = 155,780,571,869,521.97
  5. Step 5: Solve for x
    x = 155,780,571,869,521.97/10,974,681.80
  6. Step 6: Final answer
    x = 14,194,541.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.