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Finding the Fourth Proportional to 10,177.90, 15,266.85 and 9,789.10

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Solution

The fourth proportional to 10,177.90, 15,266.85 and 9,789.10 is: 14,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.90 : 15,266.85 = 9,789.10 : x
  2. Step 2: Convert to fraction form
    10,177.90/15,266.85 = 9,789.10/x
  3. Step 3: Cross multiply
    10,177.90x = 15,266.85 × 9,789.10
  4. Step 4: Simplify right side
    10,177.90x = 149,448,721.34
  5. Step 5: Solve for x
    x = 149,448,721.34/10,177.90
  6. Step 6: Final answer
    x = 14,683.65

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