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Finding the Fourth Proportional to 16,522.08, 22,793.85 and 9,447

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Solution

The fourth proportional to 16,522.08, 22,793.85 and 9,447 is: 13,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.08 : 22,793.85 = 9,447 : x
  2. Step 2: Convert to fraction form
    16,522.08/22,793.85 = 9,447/x
  3. Step 3: Cross multiply
    16,522.08x = 22,793.85 × 9,447
  4. Step 4: Simplify right side
    16,522.08x = 215,333,500.95
  5. Step 5: Solve for x
    x = 215,333,500.95/16,522.08
  6. Step 6: Final answer
    x = 13,033.07

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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.