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Finding the Fourth Proportional to 24,228.82, 36,343.37 and 7,587.57

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Solution

The fourth proportional to 24,228.82, 36,343.37 and 7,587.57 is: 11,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.82 : 36,343.37 = 7,587.57 : x
  2. Step 2: Convert to fraction form
    24,228.82/36,343.37 = 7,587.57/x
  3. Step 3: Cross multiply
    24,228.82x = 36,343.37 × 7,587.57
  4. Step 4: Simplify right side
    24,228.82x = 275,757,882.88
  5. Step 5: Solve for x
    x = 275,757,882.88/24,228.82
  6. Step 6: Final answer
    x = 11,381.40

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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.