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Finding the Fourth Proportional to 24,123.85, 36,194.29 and 7,488.07

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Solution

The fourth proportional to 24,123.85, 36,194.29 and 7,488.07 is: 11,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.85 : 36,194.29 = 7,488.07 : x
  2. Step 2: Convert to fraction form
    24,123.85/36,194.29 = 7,488.07/x
  3. Step 3: Cross multiply
    24,123.85x = 36,194.29 × 7,488.07
  4. Step 4: Simplify right side
    24,123.85x = 271,025,267.91
  5. Step 5: Solve for x
    x = 271,025,267.91/24,123.85
  6. Step 6: Final answer
    x = 11,234.74

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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.