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Finding the Fourth Proportional to 15,730.89, 21,708.63 and 8,657.31

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Solution

The fourth proportional to 15,730.89, 21,708.63 and 8,657.31 is: 11,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.89 : 21,708.63 = 8,657.31 : x
  2. Step 2: Convert to fraction form
    15,730.89/21,708.63 = 8,657.31/x
  3. Step 3: Cross multiply
    15,730.89x = 21,708.63 × 8,657.31
  4. Step 4: Simplify right side
    15,730.89x = 187,938,339.59
  5. Step 5: Solve for x
    x = 187,938,339.59/15,730.89
  6. Step 6: Final answer
    x = 11,947.09

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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.