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Finding the Fourth Proportional to 13,679.34, 18,877.55 and 7,711.12

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Solution

The fourth proportional to 13,679.34, 18,877.55 and 7,711.12 is: 10,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.34 : 18,877.55 = 7,711.12 : x
  2. Step 2: Convert to fraction form
    13,679.34/18,877.55 = 7,711.12/x
  3. Step 3: Cross multiply
    13,679.34x = 18,877.55 × 7,711.12
  4. Step 4: Simplify right side
    13,679.34x = 145,567,053.36
  5. Step 5: Solve for x
    x = 145,567,053.36/13,679.34
  6. Step 6: Final answer
    x = 10,641.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.