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Finding the Fourth Proportional to 14,275.41, 19,700.09 and 7,902.44

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Solution

The fourth proportional to 14,275.41, 19,700.09 and 7,902.44 is: 10,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.41 : 19,700.09 = 7,902.44 : x
  2. Step 2: Convert to fraction form
    14,275.41/19,700.09 = 7,902.44/x
  3. Step 3: Cross multiply
    14,275.41x = 19,700.09 × 7,902.44
  4. Step 4: Simplify right side
    14,275.41x = 155,678,739.71
  5. Step 5: Solve for x
    x = 155,678,739.71/14,275.41
  6. Step 6: Final answer
    x = 10,905.38

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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.