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Finding the Fourth Proportional to 15,731.09, 21,708.89 and 8,657.51

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Solution

The fourth proportional to 15,731.09, 21,708.89 and 8,657.51 is: 11,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.09 : 21,708.89 = 8,657.51 : x
  2. Step 2: Convert to fraction form
    15,731.09/21,708.89 = 8,657.51/x
  3. Step 3: Cross multiply
    15,731.09x = 21,708.89 × 8,657.51
  4. Step 4: Simplify right side
    15,731.09x = 187,944,943.25
  5. Step 5: Solve for x
    x = 187,944,943.25/15,731.09
  6. Step 6: Final answer
    x = 11,947.36

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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.