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Finding the Fourth Proportional to 24,380.46, 36,570.69 and 8,581.77

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Solution

The fourth proportional to 24,380.46, 36,570.69 and 8,581.77 is: 12,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.46 : 36,570.69 = 8,581.77 : x
  2. Step 2: Convert to fraction form
    24,380.46/36,570.69 = 8,581.77/x
  3. Step 3: Cross multiply
    24,380.46x = 36,570.69 × 8,581.77
  4. Step 4: Simplify right side
    24,380.46x = 313,841,250.32
  5. Step 5: Solve for x
    x = 313,841,250.32/24,380.46
  6. Step 6: Final answer
    x = 12,872.66

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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.