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Finding the Fourth Proportional to 24,691.50, 34,074.27 and 13,513.50

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Solution

The fourth proportional to 24,691.50, 34,074.27 and 13,513.50 is: 18,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.50 : 34,074.27 = 13,513.50 : x
  2. Step 2: Convert to fraction form
    24,691.50/34,074.27 = 13,513.50/x
  3. Step 3: Cross multiply
    24,691.50x = 34,074.27 × 13,513.50
  4. Step 4: Simplify right side
    24,691.50x = 460,462,647.65
  5. Step 5: Solve for x
    x = 460,462,647.65/24,691.50
  6. Step 6: Final answer
    x = 18,648.63

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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.