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Finding the Fourth Proportional to 20,658.13, 30,969.92 and 9,572.76

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Solution

The fourth proportional to 20,658.13, 30,969.92 and 9,572.76 is: 14,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.13 : 30,969.92 = 9,572.76 : x
  2. Step 2: Convert to fraction form
    20,658.13/30,969.92 = 9,572.76/x
  3. Step 3: Cross multiply
    20,658.13x = 30,969.92 × 9,572.76
  4. Step 4: Simplify right side
    20,658.13x = 296,467,635.31
  5. Step 5: Solve for x
    x = 296,467,635.31/20,658.13
  6. Step 6: Final answer
    x = 14,351.14

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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.