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Finding the Fourth Proportional to 16,589.12, 22,892.34 and 9,035.18

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Solution

The fourth proportional to 16,589.12, 22,892.34 and 9,035.18 is: 12,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.12 : 22,892.34 = 9,035.18 : x
  2. Step 2: Convert to fraction form
    16,589.12/22,892.34 = 9,035.18/x
  3. Step 3: Cross multiply
    16,589.12x = 22,892.34 × 9,035.18
  4. Step 4: Simplify right side
    16,589.12x = 206,836,412.52
  5. Step 5: Solve for x
    x = 206,836,412.52/16,589.12
  6. Step 6: Final answer
    x = 12,468.20

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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.