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Finding the Fourth Proportional to 16,530.52, 22,811.71 and 9,456.48

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Solution

The fourth proportional to 16,530.52, 22,811.71 and 9,456.48 is: 13,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.52 : 22,811.71 = 9,456.48 : x
  2. Step 2: Convert to fraction form
    16,530.52/22,811.71 = 9,456.48/x
  3. Step 3: Cross multiply
    16,530.52x = 22,811.71 × 9,456.48
  4. Step 4: Simplify right side
    16,530.52x = 215,718,479.38
  5. Step 5: Solve for x
    x = 215,718,479.38/16,530.52
  6. Step 6: Final answer
    x = 13,049.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.