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Finding the Fourth Proportional to 24,089.74, 36,138.08 and 7,451.08

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Solution

The fourth proportional to 24,089.74, 36,138.08 and 7,451.08 is: 11,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089.74 : 36,138.08 = 7,451.08 : x
  2. Step 2: Convert to fraction form
    24,089.74/36,138.08 = 7,451.08/x
  3. Step 3: Cross multiply
    24,089.74x = 36,138.08 × 7,451.08
  4. Step 4: Simplify right side
    24,089.74x = 269,267,725.13
  5. Step 5: Solve for x
    x = 269,267,725.13/24,089.74
  6. Step 6: Final answer
    x = 11,177.69

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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.