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Finding the Fourth Proportional to 24,402.18, 36,590.19 and 7,757.70

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Solution

The fourth proportional to 24,402.18, 36,590.19 and 7,757.70 is: 11,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.18 : 36,590.19 = 7,757.70 : x
  2. Step 2: Convert to fraction form
    24,402.18/36,590.19 = 7,757.70/x
  3. Step 3: Cross multiply
    24,402.18x = 36,590.19 × 7,757.70
  4. Step 4: Simplify right side
    24,402.18x = 283,855,716.96
  5. Step 5: Solve for x
    x = 283,855,716.96/24,402.18
  6. Step 6: Final answer
    x = 11,632.39

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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.