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Finding the Fourth Proportional to 20,098.41, 30,147.87 and 9,569.43

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Solution

The fourth proportional to 20,098.41, 30,147.87 and 9,569.43 is: 14,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.41 : 30,147.87 = 9,569.43 : x
  2. Step 2: Convert to fraction form
    20,098.41/30,147.87 = 9,569.43/x
  3. Step 3: Cross multiply
    20,098.41x = 30,147.87 × 9,569.43
  4. Step 4: Simplify right side
    20,098.41x = 288,497,931.61
  5. Step 5: Solve for x
    x = 288,497,931.61/20,098.41
  6. Step 6: Final answer
    x = 14,354.27

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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.