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Finding the Fourth Proportional to 27,691.42, 41,526.87 and 9,919.31

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Solution

The fourth proportional to 27,691.42, 41,526.87 and 9,919.31 is: 14,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.42 : 41,526.87 = 9,919.31 : x
  2. Step 2: Convert to fraction form
    27,691.42/41,526.87 = 9,919.31/x
  3. Step 3: Cross multiply
    27,691.42x = 41,526.87 × 9,919.31
  4. Step 4: Simplify right side
    27,691.42x = 411,917,807.75
  5. Step 5: Solve for x
    x = 411,917,807.75/27,691.42
  6. Step 6: Final answer
    x = 14,875.29

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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.