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Finding the Fourth Proportional to 13,123.50, 19,691.05 and 6,882.02

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Solution

The fourth proportional to 13,123.50, 19,691.05 and 6,882.02 is: 10,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.50 : 19,691.05 = 6,882.02 : x
  2. Step 2: Convert to fraction form
    13,123.50/19,691.05 = 6,882.02/x
  3. Step 3: Cross multiply
    13,123.50x = 19,691.05 × 6,882.02
  4. Step 4: Simplify right side
    13,123.50x = 135,514,199.92
  5. Step 5: Solve for x
    x = 135,514,199.92/13,123.50
  6. Step 6: Final answer
    x = 10,326.07

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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.