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Finding the Fourth Proportional to 16,467.71, 24,703.92 and 5,371.65

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Solution

The fourth proportional to 16,467.71, 24,703.92 and 5,371.65 is: 8,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.71 : 24,703.92 = 5,371.65 : x
  2. Step 2: Convert to fraction form
    16,467.71/24,703.92 = 5,371.65/x
  3. Step 3: Cross multiply
    16,467.71x = 24,703.92 × 5,371.65
  4. Step 4: Simplify right side
    16,467.71x = 132,700,811.87
  5. Step 5: Solve for x
    x = 132,700,811.87/16,467.71
  6. Step 6: Final answer
    x = 8,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.