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Finding the Fourth Proportional to 16,184.91, 22,332.20 and 9,109.83

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Solution

The fourth proportional to 16,184.91, 22,332.20 and 9,109.83 is: 12,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.91 : 22,332.20 = 9,109.83 : x
  2. Step 2: Convert to fraction form
    16,184.91/22,332.20 = 9,109.83/x
  3. Step 3: Cross multiply
    16,184.91x = 22,332.20 × 9,109.83
  4. Step 4: Simplify right side
    16,184.91x = 203,442,499.98
  5. Step 5: Solve for x
    x = 203,442,499.98/16,184.91
  6. Step 6: Final answer
    x = 12,569.89

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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.