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Finding the Fourth Proportional to 24,216.10, 36,378.84 and 14,361.85

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Solution

The fourth proportional to 24,216.10, 36,378.84 and 14,361.85 is: 21,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216.10 : 36,378.84 = 14,361.85 : x
  2. Step 2: Convert to fraction form
    24,216.10/36,378.84 = 14,361.85/x
  3. Step 3: Cross multiply
    24,216.10x = 36,378.84 × 14,361.85
  4. Step 4: Simplify right side
    24,216.10x = 522,467,257.17
  5. Step 5: Solve for x
    x = 522,467,257.17/24,216.10
  6. Step 6: Final answer
    x = 21,575.20

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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.