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Finding the Fourth Proportional to 16,250, 22,425.96 and 9,177.20

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Solution

The fourth proportional to 16,250, 22,425.96 and 9,177.20 is: 12,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250 : 22,425.96 = 9,177.20 : x
  2. Step 2: Convert to fraction form
    16,250/22,425.96 = 9,177.20/x
  3. Step 3: Cross multiply
    16,250x = 22,425.96 × 9,177.20
  4. Step 4: Simplify right side
    16,250x = 205,807,520.11
  5. Step 5: Solve for x
    x = 205,807,520.11/16,250
  6. Step 6: Final answer
    x = 12,665.08

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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.