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Finding the Fourth Proportional to 16,241.50, 24,363.47 and 9,218.80

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Solution

The fourth proportional to 16,241.50, 24,363.47 and 9,218.80 is: 13,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.50 : 24,363.47 = 9,218.80 : x
  2. Step 2: Convert to fraction form
    16,241.50/24,363.47 = 9,218.80/x
  3. Step 3: Cross multiply
    16,241.50x = 24,363.47 × 9,218.80
  4. Step 4: Simplify right side
    16,241.50x = 224,601,957.24
  5. Step 5: Solve for x
    x = 224,601,957.24/16,241.50
  6. Step 6: Final answer
    x = 13,828.89

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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.