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Finding the Fourth Proportional to 24,152.58, 36,227.61 and 7,511.40

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Solution

The fourth proportional to 24,152.58, 36,227.61 and 7,511.40 is: 11,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152.58 : 36,227.61 = 7,511.40 : x
  2. Step 2: Convert to fraction form
    24,152.58/36,227.61 = 7,511.40/x
  3. Step 3: Cross multiply
    24,152.58x = 36,227.61 × 7,511.40
  4. Step 4: Simplify right side
    24,152.58x = 272,120,069.75
  5. Step 5: Solve for x
    x = 272,120,069.75/24,152.58
  6. Step 6: Final answer
    x = 11,266.71

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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.