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Finding the Fourth Proportional to 15,708.87, 21,678.57 and 8,635.68

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Solution

The fourth proportional to 15,708.87, 21,678.57 and 8,635.68 is: 11,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.87 : 21,678.57 = 8,635.68 : x
  2. Step 2: Convert to fraction form
    15,708.87/21,678.57 = 8,635.68/x
  3. Step 3: Cross multiply
    15,708.87x = 21,678.57 × 8,635.68
  4. Step 4: Simplify right side
    15,708.87x = 187,209,193.38
  5. Step 5: Solve for x
    x = 187,209,193.38/15,708.87
  6. Step 6: Final answer
    x = 11,917.42

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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.