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Finding the Fourth Proportional to 15,747.71, 21,731.88 and 8,577.68

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Solution

The fourth proportional to 15,747.71, 21,731.88 and 8,577.68 is: 11,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.71 : 21,731.88 = 8,577.68 : x
  2. Step 2: Convert to fraction form
    15,747.71/21,731.88 = 8,577.68/x
  3. Step 3: Cross multiply
    15,747.71x = 21,731.88 × 8,577.68
  4. Step 4: Simplify right side
    15,747.71x = 186,409,003.78
  5. Step 5: Solve for x
    x = 186,409,003.78/15,747.71
  6. Step 6: Final answer
    x = 11,837.22

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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.