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Finding the Fourth Proportional to 15,730.53, 21,708.78 and 8,657.40

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Solution

The fourth proportional to 15,730.53, 21,708.78 and 8,657.40 is: 11,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.53 : 21,708.78 = 8,657.40 : x
  2. Step 2: Convert to fraction form
    15,730.53/21,708.78 = 8,657.40/x
  3. Step 3: Cross multiply
    15,730.53x = 21,708.78 × 8,657.40
  4. Step 4: Simplify right side
    15,730.53x = 187,941,591.97
  5. Step 5: Solve for x
    x = 187,941,591.97/15,730.53
  6. Step 6: Final answer
    x = 11,947.57

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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.