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Finding the Fourth Proportional to 14,659.97, 20,232.12 and 8,371.13

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Solution

The fourth proportional to 14,659.97, 20,232.12 and 8,371.13 is: 11,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.97 : 20,232.12 = 8,371.13 : x
  2. Step 2: Convert to fraction form
    14,659.97/20,232.12 = 8,371.13/x
  3. Step 3: Cross multiply
    14,659.97x = 20,232.12 × 8,371.13
  4. Step 4: Simplify right side
    14,659.97x = 169,365,605.54
  5. Step 5: Solve for x
    x = 169,365,605.54/14,659.97
  6. Step 6: Final answer
    x = 11,552.93

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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.