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Finding the Fourth Proportional to 24,188.10, 36,233.55 and 16,314.90

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Solution

The fourth proportional to 24,188.10, 36,233.55 and 16,314.90 is: 24,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.10 : 36,233.55 = 16,314.90 : x
  2. Step 2: Convert to fraction form
    24,188.10/36,233.55 = 16,314.90/x
  3. Step 3: Cross multiply
    24,188.10x = 36,233.55 × 16,314.90
  4. Step 4: Simplify right side
    24,188.10x = 591,146,744.90
  5. Step 5: Solve for x
    x = 591,146,744.90/24,188.10
  6. Step 6: Final answer
    x = 24,439.57

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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.