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Finding the Fourth Proportional to 16,240.96, 22,412.50 and 9,167.23

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Solution

The fourth proportional to 16,240.96, 22,412.50 and 9,167.23 is: 12,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.96 : 22,412.50 = 9,167.23 : x
  2. Step 2: Convert to fraction form
    16,240.96/22,412.50 = 9,167.23/x
  3. Step 3: Cross multiply
    16,240.96x = 22,412.50 × 9,167.23
  4. Step 4: Simplify right side
    16,240.96x = 205,460,542.38
  5. Step 5: Solve for x
    x = 205,460,542.38/16,240.96
  6. Step 6: Final answer
    x = 12,650.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.