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Finding the Fourth Proportional to 15,140.52, 20,898.54 and 9,762.96

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Solution

The fourth proportional to 15,140.52, 20,898.54 and 9,762.96 is: 13,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.52 : 20,898.54 = 9,762.96 : x
  2. Step 2: Convert to fraction form
    15,140.52/20,898.54 = 9,762.96/x
  3. Step 3: Cross multiply
    15,140.52x = 20,898.54 × 9,762.96
  4. Step 4: Simplify right side
    15,140.52x = 204,031,610.08
  5. Step 5: Solve for x
    x = 204,031,610.08/15,140.52
  6. Step 6: Final answer
    x = 13,475.87

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