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Finding the Fourth Proportional to 24,591.40, 36,814.20 and 16,280.80

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Solution

The fourth proportional to 24,591.40, 36,814.20 and 16,280.80 is: 24,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.40 : 36,814.20 = 16,280.80 : x
  2. Step 2: Convert to fraction form
    24,591.40/36,814.20 = 16,280.80/x
  3. Step 3: Cross multiply
    24,591.40x = 36,814.20 × 16,280.80
  4. Step 4: Simplify right side
    24,591.40x = 599,364,627.36
  5. Step 5: Solve for x
    x = 599,364,627.36/24,591.40
  6. Step 6: Final answer
    x = 24,372.94

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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.