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Finding the Fourth Proportional to 24,085.15, 36,121.24 and 8,500.75

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Solution

The fourth proportional to 24,085.15, 36,121.24 and 8,500.75 is: 12,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.15 : 36,121.24 = 8,500.75 : x
  2. Step 2: Convert to fraction form
    24,085.15/36,121.24 = 8,500.75/x
  3. Step 3: Cross multiply
    24,085.15x = 36,121.24 × 8,500.75
  4. Step 4: Simplify right side
    24,085.15x = 307,057,630.93
  5. Step 5: Solve for x
    x = 307,057,630.93/24,085.15
  6. Step 6: Final answer
    x = 12,748.84

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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.