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Finding the Fourth Proportional to 24,352.74, 36,531 and 7,713.72

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Solution

The fourth proportional to 24,352.74, 36,531 and 7,713.72 is: 11,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.74 : 36,531 = 7,713.72 : x
  2. Step 2: Convert to fraction form
    24,352.74/36,531 = 7,713.72/x
  3. Step 3: Cross multiply
    24,352.74x = 36,531 × 7,713.72
  4. Step 4: Simplify right side
    24,352.74x = 281,789,905.32
  5. Step 5: Solve for x
    x = 281,789,905.32/24,352.74
  6. Step 6: Final answer
    x = 11,571.18

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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.