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Finding the Fourth Proportional to 24,522.85, 36,775.62 and 7,877.26

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Solution

The fourth proportional to 24,522.85, 36,775.62 and 7,877.26 is: 11,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.85 : 36,775.62 = 7,877.26 : x
  2. Step 2: Convert to fraction form
    24,522.85/36,775.62 = 7,877.26/x
  3. Step 3: Cross multiply
    24,522.85x = 36,775.62 × 7,877.26
  4. Step 4: Simplify right side
    24,522.85x = 289,691,120.40
  5. Step 5: Solve for x
    x = 289,691,120.40/24,522.85
  6. Step 6: Final answer
    x = 11,813.11

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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.