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Finding the Fourth Proportional to 24,987.31, 37,470.03 and 9,394

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Solution

The fourth proportional to 24,987.31, 37,470.03 and 9,394 is: 14,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,987.31 : 37,470.03 = 9,394 : x
  2. Step 2: Convert to fraction form
    24,987.31/37,470.03 = 9,394/x
  3. Step 3: Cross multiply
    24,987.31x = 37,470.03 × 9,394
  4. Step 4: Simplify right side
    24,987.31x = 351,993,461.82
  5. Step 5: Solve for x
    x = 351,993,461.82/24,987.31
  6. Step 6: Final answer
    x = 14,086.89

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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.