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Finding the Fourth Proportional to 24,469.13, 36,701.35 and 7,824.68

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Solution

The fourth proportional to 24,469.13, 36,701.35 and 7,824.68 is: 11,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.13 : 36,701.35 = 7,824.68 : x
  2. Step 2: Convert to fraction form
    24,469.13/36,701.35 = 7,824.68/x
  3. Step 3: Cross multiply
    24,469.13x = 36,701.35 × 7,824.68
  4. Step 4: Simplify right side
    24,469.13x = 287,176,319.32
  5. Step 5: Solve for x
    x = 287,176,319.32/24,469.13
  6. Step 6: Final answer
    x = 11,736.27

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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.