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Finding the Fourth Proportional to 11,932.60, 17,877.30 and 9,729.40

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Solution

The fourth proportional to 11,932.60, 17,877.30 and 9,729.40 is: 14,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.60 : 17,877.30 = 9,729.40 : x
  2. Step 2: Convert to fraction form
    11,932.60/17,877.30 = 9,729.40/x
  3. Step 3: Cross multiply
    11,932.60x = 17,877.30 × 9,729.40
  4. Step 4: Simplify right side
    11,932.60x = 173,935,402.62
  5. Step 5: Solve for x
    x = 173,935,402.62/11,932.60
  6. Step 6: Final answer
    x = 14,576.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.