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Finding the Fourth Proportional to 24,314.58, 36,475.92 and 7,670.70

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Solution

The fourth proportional to 24,314.58, 36,475.92 and 7,670.70 is: 11,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.58 : 36,475.92 = 7,670.70 : x
  2. Step 2: Convert to fraction form
    24,314.58/36,475.92 = 7,670.70/x
  3. Step 3: Cross multiply
    24,314.58x = 36,475.92 × 7,670.70
  4. Step 4: Simplify right side
    24,314.58x = 279,795,839.54
  5. Step 5: Solve for x
    x = 279,795,839.54/24,314.58
  6. Step 6: Final answer
    x = 11,507.33

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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.