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Finding the Fourth Proportional to 16,383.79, 24,567.04 and 7,144.75

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Solution

The fourth proportional to 16,383.79, 24,567.04 and 7,144.75 is: 10,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.79 : 24,567.04 = 7,144.75 : x
  2. Step 2: Convert to fraction form
    16,383.79/24,567.04 = 7,144.75/x
  3. Step 3: Cross multiply
    16,383.79x = 24,567.04 × 7,144.75
  4. Step 4: Simplify right side
    16,383.79x = 175,525,359.04
  5. Step 5: Solve for x
    x = 175,525,359.04/16,383.79
  6. Step 6: Final answer
    x = 10,713.36

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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.