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Finding the Fourth Proportional to 16,589.32, 22,892.58 and 9,035.50

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Solution

The fourth proportional to 16,589.32, 22,892.58 and 9,035.50 is: 12,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.32 : 22,892.58 = 9,035.50 : x
  2. Step 2: Convert to fraction form
    16,589.32/22,892.58 = 9,035.50/x
  3. Step 3: Cross multiply
    16,589.32x = 22,892.58 × 9,035.50
  4. Step 4: Simplify right side
    16,589.32x = 206,845,906.59
  5. Step 5: Solve for x
    x = 206,845,906.59/16,589.32
  6. Step 6: Final answer
    x = 12,468.62

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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.