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Finding the Fourth Proportional to 24,278.25, 36,408.56 and 8,478.85

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Solution

The fourth proportional to 24,278.25, 36,408.56 and 8,478.85 is: 12,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.25 : 36,408.56 = 8,478.85 : x
  2. Step 2: Convert to fraction form
    24,278.25/36,408.56 = 8,478.85/x
  3. Step 3: Cross multiply
    24,278.25x = 36,408.56 × 8,478.85
  4. Step 4: Simplify right side
    24,278.25x = 308,702,831.17
  5. Step 5: Solve for x
    x = 308,702,831.17/24,278.25
  6. Step 6: Final answer
    x = 12,715.20

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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.