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Finding the Fourth Proportional to 16,177.79, 22,332.89 and 9,462.49

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Solution

The fourth proportional to 16,177.79, 22,332.89 and 9,462.49 is: 13,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.79 : 22,332.89 = 9,462.49 : x
  2. Step 2: Convert to fraction form
    16,177.79/22,332.89 = 9,462.49/x
  3. Step 3: Cross multiply
    16,177.79x = 22,332.89 × 9,462.49
  4. Step 4: Simplify right side
    16,177.79x = 211,324,748.30
  5. Step 5: Solve for x
    x = 211,324,748.30/16,177.79
  6. Step 6: Final answer
    x = 13,062.65

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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.