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Finding the Fourth Proportional to 15,646.27, 21,593.67 and 8,932.87

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Solution

The fourth proportional to 15,646.27, 21,593.67 and 8,932.87 is: 12,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.27 : 21,593.67 = 8,932.87 : x
  2. Step 2: Convert to fraction form
    15,646.27/21,593.67 = 8,932.87/x
  3. Step 3: Cross multiply
    15,646.27x = 21,593.67 × 8,932.87
  4. Step 4: Simplify right side
    15,646.27x = 192,893,446.93
  5. Step 5: Solve for x
    x = 192,893,446.93/15,646.27
  6. Step 6: Final answer
    x = 12,328.40

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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.