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Finding the Fourth Proportional to 16,522, 22,793.86 and 9,444.62

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Solution

The fourth proportional to 16,522, 22,793.86 and 9,444.62 is: 13,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522 : 22,793.86 = 9,444.62 : x
  2. Step 2: Convert to fraction form
    16,522/22,793.86 = 9,444.62/x
  3. Step 3: Cross multiply
    16,522x = 22,793.86 × 9,444.62
  4. Step 4: Simplify right side
    16,522x = 215,279,346.03
  5. Step 5: Solve for x
    x = 215,279,346.03/16,522
  6. Step 6: Final answer
    x = 13,029.86

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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.