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Finding the Fourth Proportional to 24,085.30, 36,118.96 and 8,285.86

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Solution

The fourth proportional to 24,085.30, 36,118.96 and 8,285.86 is: 12,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.30 : 36,118.96 = 8,285.86 : x
  2. Step 2: Convert to fraction form
    24,085.30/36,118.96 = 8,285.86/x
  3. Step 3: Cross multiply
    24,085.30x = 36,118.96 × 8,285.86
  4. Step 4: Simplify right side
    24,085.30x = 299,276,716.95
  5. Step 5: Solve for x
    x = 299,276,716.95/24,085.30
  6. Step 6: Final answer
    x = 12,425.70

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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.