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Finding the Fourth Proportional to 23,074, 31,842.12 and 13,139.92

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Solution

The fourth proportional to 23,074, 31,842.12 and 13,139.92 is: 18,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074 : 31,842.12 = 13,139.92 : x
  2. Step 2: Convert to fraction form
    23,074/31,842.12 = 13,139.92/x
  3. Step 3: Cross multiply
    23,074x = 31,842.12 × 13,139.92
  4. Step 4: Simplify right side
    23,074x = 418,402,909.43
  5. Step 5: Solve for x
    x = 418,402,909.43/23,074
  6. Step 6: Final answer
    x = 18,133.09

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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.