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Finding the Fourth Proportional to 13,967.97, 20,959.50 and 10,854.24

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Solution

The fourth proportional to 13,967.97, 20,959.50 and 10,854.24 is: 16,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.97 : 20,959.50 = 10,854.24 : x
  2. Step 2: Convert to fraction form
    13,967.97/20,959.50 = 10,854.24/x
  3. Step 3: Cross multiply
    13,967.97x = 20,959.50 × 10,854.24
  4. Step 4: Simplify right side
    13,967.97x = 227,499,443.28
  5. Step 5: Solve for x
    x = 227,499,443.28/13,967.97
  6. Step 6: Final answer
    x = 16,287.22

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1.5x scale

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.