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Finding the Fourth Proportional to 13,679.31, 18,877.56 and 7,711.11

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Solution

The fourth proportional to 13,679.31, 18,877.56 and 7,711.11 is: 10,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.31 : 18,877.56 = 7,711.11 : x
  2. Step 2: Convert to fraction form
    13,679.31/18,877.56 = 7,711.11/x
  3. Step 3: Cross multiply
    13,679.31x = 18,877.56 × 7,711.11
  4. Step 4: Simplify right side
    13,679.31x = 145,566,941.69
  5. Step 5: Solve for x
    x = 145,566,941.69/13,679.31
  6. Step 6: Final answer
    x = 10,641.40

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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.