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Finding the Fourth Proportional to 15,708.91, 21,677.75 and 8,635.28

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Solution

The fourth proportional to 15,708.91, 21,677.75 and 8,635.28 is: 11,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.91 : 21,677.75 = 8,635.28 : x
  2. Step 2: Convert to fraction form
    15,708.91/21,677.75 = 8,635.28/x
  3. Step 3: Cross multiply
    15,708.91x = 21,677.75 × 8,635.28
  4. Step 4: Simplify right side
    15,708.91x = 187,193,484.42
  5. Step 5: Solve for x
    x = 187,193,484.42/15,708.91
  6. Step 6: Final answer
    x = 11,916.39

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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.