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Finding the Fourth Proportional to 16,263.20, 22,442.92 and 9,189.47

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Solution

The fourth proportional to 16,263.20, 22,442.92 and 9,189.47 is: 12,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.20 : 22,442.92 = 9,189.47 : x
  2. Step 2: Convert to fraction form
    16,263.20/22,442.92 = 9,189.47/x
  3. Step 3: Cross multiply
    16,263.20x = 22,442.92 × 9,189.47
  4. Step 4: Simplify right side
    16,263.20x = 206,238,404.86
  5. Step 5: Solve for x
    x = 206,238,404.86/16,263.20
  6. Step 6: Final answer
    x = 12,681.30

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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.