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Finding the Fourth Proportional to 24,175.40, 36,267.44 and 7,531.52

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Solution

The fourth proportional to 24,175.40, 36,267.44 and 7,531.52 is: 11,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.40 : 36,267.44 = 7,531.52 : x
  2. Step 2: Convert to fraction form
    24,175.40/36,267.44 = 7,531.52/x
  3. Step 3: Cross multiply
    24,175.40x = 36,267.44 × 7,531.52
  4. Step 4: Simplify right side
    24,175.40x = 273,148,730.71
  5. Step 5: Solve for x
    x = 273,148,730.71/24,175.40
  6. Step 6: Final answer
    x = 11,298.63

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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.