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Finding the Fourth Proportional to 15,730.92, 21,709.26 and 8,657.16

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Solution

The fourth proportional to 15,730.92, 21,709.26 and 8,657.16 is: 11,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.92 : 21,709.26 = 8,657.16 : x
  2. Step 2: Convert to fraction form
    15,730.92/21,709.26 = 8,657.16/x
  3. Step 3: Cross multiply
    15,730.92x = 21,709.26 × 8,657.16
  4. Step 4: Simplify right side
    15,730.92x = 187,940,537.30
  5. Step 5: Solve for x
    x = 187,940,537.30/15,730.92
  6. Step 6: Final answer
    x = 11,947.21

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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.