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Finding the Fourth Proportional to 14,727.85, 20,324.23 and 8,013.40

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Solution

The fourth proportional to 14,727.85, 20,324.23 and 8,013.40 is: 11,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.85 : 20,324.23 = 8,013.40 : x
  2. Step 2: Convert to fraction form
    14,727.85/20,324.23 = 8,013.40/x
  3. Step 3: Cross multiply
    14,727.85x = 20,324.23 × 8,013.40
  4. Step 4: Simplify right side
    14,727.85x = 162,866,184.68
  5. Step 5: Solve for x
    x = 162,866,184.68/14,727.85
  6. Step 6: Final answer
    x = 11,058.38

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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.