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Finding the Fourth Proportional to 24,161.59, 36,245.88 and 7,523.11

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Solution

The fourth proportional to 24,161.59, 36,245.88 and 7,523.11 is: 11,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.59 : 36,245.88 = 7,523.11 : x
  2. Step 2: Convert to fraction form
    24,161.59/36,245.88 = 7,523.11/x
  3. Step 3: Cross multiply
    24,161.59x = 36,245.88 × 7,523.11
  4. Step 4: Simplify right side
    24,161.59x = 272,681,742.29
  5. Step 5: Solve for x
    x = 272,681,742.29/24,161.59
  6. Step 6: Final answer
    x = 11,285.75

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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.