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Finding the Fourth Proportional to 16,031.36, 24,049.79 and 7,149.84

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Solution

The fourth proportional to 16,031.36, 24,049.79 and 7,149.84 is: 10,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.36 : 24,049.79 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    16,031.36/24,049.79 = 7,149.84/x
  3. Step 3: Cross multiply
    16,031.36x = 24,049.79 × 7,149.84
  4. Step 4: Simplify right side
    16,031.36x = 171,952,114.78
  5. Step 5: Solve for x
    x = 171,952,114.78/16,031.36
  6. Step 6: Final answer
    x = 10,725.99

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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.