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Finding the Fourth Proportional to 16,242.50, 24,364.97 and 9,219.80

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Solution

The fourth proportional to 16,242.50, 24,364.97 and 9,219.80 is: 13,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.50 : 24,364.97 = 9,219.80 : x
  2. Step 2: Convert to fraction form
    16,242.50/24,364.97 = 9,219.80/x
  3. Step 3: Cross multiply
    16,242.50x = 24,364.97 × 9,219.80
  4. Step 4: Simplify right side
    16,242.50x = 224,640,150.41
  5. Step 5: Solve for x
    x = 224,640,150.41/16,242.50
  6. Step 6: Final answer
    x = 13,830.39

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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.