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Finding the Fourth Proportional to 15,730.50, 21,708.24 and 8,657.09

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Solution

The fourth proportional to 15,730.50, 21,708.24 and 8,657.09 is: 11,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.50 : 21,708.24 = 8,657.09 : x
  2. Step 2: Convert to fraction form
    15,730.50/21,708.24 = 8,657.09/x
  3. Step 3: Cross multiply
    15,730.50x = 21,708.24 × 8,657.09
  4. Step 4: Simplify right side
    15,730.50x = 187,930,078.88
  5. Step 5: Solve for x
    x = 187,930,078.88/15,730.50
  6. Step 6: Final answer
    x = 11,946.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.