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Finding the Fourth Proportional to 15,732.62, 21,710.48 and 8,659.02

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Solution

The fourth proportional to 15,732.62, 21,710.48 and 8,659.02 is: 11,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.62 : 21,710.48 = 8,659.02 : x
  2. Step 2: Convert to fraction form
    15,732.62/21,710.48 = 8,659.02/x
  3. Step 3: Cross multiply
    15,732.62x = 21,710.48 × 8,659.02
  4. Step 4: Simplify right side
    15,732.62x = 187,991,437.23
  5. Step 5: Solve for x
    x = 187,991,437.23/15,732.62
  6. Step 6: Final answer
    x = 11,949.15

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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.