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Finding the Fourth Proportional to 24,412.95, 36,622.13 and 7,767.15

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Solution

The fourth proportional to 24,412.95, 36,622.13 and 7,767.15 is: 11,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.95 : 36,622.13 = 7,767.15 : x
  2. Step 2: Convert to fraction form
    24,412.95/36,622.13 = 7,767.15/x
  3. Step 3: Cross multiply
    24,412.95x = 36,622.13 × 7,767.15
  4. Step 4: Simplify right side
    24,412.95x = 284,449,577.03
  5. Step 5: Solve for x
    x = 284,449,577.03/24,412.95
  6. Step 6: Final answer
    x = 11,651.59

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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.