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Finding the Fourth Proportional to 14,805.97, 20,432.53 and 8,092.01

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Solution

The fourth proportional to 14,805.97, 20,432.53 and 8,092.01 is: 11,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.97 : 20,432.53 = 8,092.01 : x
  2. Step 2: Convert to fraction form
    14,805.97/20,432.53 = 8,092.01/x
  3. Step 3: Cross multiply
    14,805.97x = 20,432.53 × 8,092.01
  4. Step 4: Simplify right side
    14,805.97x = 165,340,191.31
  5. Step 5: Solve for x
    x = 165,340,191.31/14,805.97
  6. Step 6: Final answer
    x = 11,167.13

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1.5x scale

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.