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Finding the Fourth Proportional to 16,181.52, 22,328.92 and 9,107.80

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Solution

The fourth proportional to 16,181.52, 22,328.92 and 9,107.80 is: 12,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.52 : 22,328.92 = 9,107.80 : x
  2. Step 2: Convert to fraction form
    16,181.52/22,328.92 = 9,107.80/x
  3. Step 3: Cross multiply
    16,181.52x = 22,328.92 × 9,107.80
  4. Step 4: Simplify right side
    16,181.52x = 203,367,337.58
  5. Step 5: Solve for x
    x = 203,367,337.58/16,181.52
  6. Step 6: Final answer
    x = 12,567.88

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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.