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Finding the Fourth Proportional to 14,027.84, 19,357.92 and 7,740.20

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Solution

The fourth proportional to 14,027.84, 19,357.92 and 7,740.20 is: 10,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.84 : 19,357.92 = 7,740.20 : x
  2. Step 2: Convert to fraction form
    14,027.84/19,357.92 = 7,740.20/x
  3. Step 3: Cross multiply
    14,027.84x = 19,357.92 × 7,740.20
  4. Step 4: Simplify right side
    14,027.84x = 149,834,172.38
  5. Step 5: Solve for x
    x = 149,834,172.38/14,027.84
  6. Step 6: Final answer
    x = 10,681.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.