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Finding the Fourth Proportional to 24,231.32, 36,350.76 and 7,587.98

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Solution

The fourth proportional to 24,231.32, 36,350.76 and 7,587.98 is: 11,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.32 : 36,350.76 = 7,587.98 : x
  2. Step 2: Convert to fraction form
    24,231.32/36,350.76 = 7,587.98/x
  3. Step 3: Cross multiply
    24,231.32x = 36,350.76 × 7,587.98
  4. Step 4: Simplify right side
    24,231.32x = 275,828,839.86
  5. Step 5: Solve for x
    x = 275,828,839.86/24,231.32
  6. Step 6: Final answer
    x = 11,383.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.