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Finding the Fourth Proportional to 24,342.58, 36,517.56 and 7,697.08

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Solution

The fourth proportional to 24,342.58, 36,517.56 and 7,697.08 is: 11,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.58 : 36,517.56 = 7,697.08 : x
  2. Step 2: Convert to fraction form
    24,342.58/36,517.56 = 7,697.08/x
  3. Step 3: Cross multiply
    24,342.58x = 36,517.56 × 7,697.08
  4. Step 4: Simplify right side
    24,342.58x = 281,078,580.72
  5. Step 5: Solve for x
    x = 281,078,580.72/24,342.58
  6. Step 6: Final answer
    x = 11,546.79

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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.