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Finding the Fourth Proportional to 15,708.58, 21,678.15 and 8,635.66

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Solution

The fourth proportional to 15,708.58, 21,678.15 and 8,635.66 is: 11,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.58 : 21,678.15 = 8,635.66 : x
  2. Step 2: Convert to fraction form
    15,708.58/21,678.15 = 8,635.66/x
  3. Step 3: Cross multiply
    15,708.58x = 21,678.15 × 8,635.66
  4. Step 4: Simplify right side
    15,708.58x = 187,205,132.83
  5. Step 5: Solve for x
    x = 187,205,132.83/15,708.58
  6. Step 6: Final answer
    x = 11,917.38

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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.