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Finding the Fourth Proportional to 24,747.80, 34,151.55 and 13,992.50

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Solution

The fourth proportional to 24,747.80, 34,151.55 and 13,992.50 is: 19,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.80 : 34,151.55 = 13,992.50 : x
  2. Step 2: Convert to fraction form
    24,747.80/34,151.55 = 13,992.50/x
  3. Step 3: Cross multiply
    24,747.80x = 34,151.55 × 13,992.50
  4. Step 4: Simplify right side
    24,747.80x = 477,865,563.38
  5. Step 5: Solve for x
    x = 477,865,563.38/24,747.80
  6. Step 6: Final answer
    x = 19,309.42

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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.