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Finding the Fourth Proportional to 20,008.71, 29,989.10 and 9,320.66

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Solution

The fourth proportional to 20,008.71, 29,989.10 and 9,320.66 is: 13,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008.71 : 29,989.10 = 9,320.66 : x
  2. Step 2: Convert to fraction form
    20,008.71/29,989.10 = 9,320.66/x
  3. Step 3: Cross multiply
    20,008.71x = 29,989.10 × 9,320.66
  4. Step 4: Simplify right side
    20,008.71x = 279,518,158.20
  5. Step 5: Solve for x
    x = 279,518,158.20/20,008.71
  6. Step 6: Final answer
    x = 13,969.82

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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.