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Finding the Fourth Proportional to 24,693.50, 34,077.03 and 13,515.50

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Solution

The fourth proportional to 24,693.50, 34,077.03 and 13,515.50 is: 18,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.50 : 34,077.03 = 13,515.50 : x
  2. Step 2: Convert to fraction form
    24,693.50/34,077.03 = 13,515.50/x
  3. Step 3: Cross multiply
    24,693.50x = 34,077.03 × 13,515.50
  4. Step 4: Simplify right side
    24,693.50x = 460,568,098.97
  5. Step 5: Solve for x
    x = 460,568,098.97/24,693.50
  6. Step 6: Final answer
    x = 18,651.39

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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.