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Finding the Fourth Proportional to 15,646.38, 21,593.81 and 8,932.96

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Solution

The fourth proportional to 15,646.38, 21,593.81 and 8,932.96 is: 12,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.38 : 21,593.81 = 8,932.96 : x
  2. Step 2: Convert to fraction form
    15,646.38/21,593.81 = 8,932.96/x
  3. Step 3: Cross multiply
    15,646.38x = 21,593.81 × 8,932.96
  4. Step 4: Simplify right side
    15,646.38x = 192,896,640.98
  5. Step 5: Solve for x
    x = 192,896,640.98/15,646.38
  6. Step 6: Final answer
    x = 12,328.52

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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.