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Finding the Fourth Proportional to 24,649.82, 34,016.74 and 13,471.82

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Solution

The fourth proportional to 24,649.82, 34,016.74 and 13,471.82 is: 18,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.82 : 34,016.74 = 13,471.82 : x
  2. Step 2: Convert to fraction form
    24,649.82/34,016.74 = 13,471.82/x
  3. Step 3: Cross multiply
    24,649.82x = 34,016.74 × 13,471.82
  4. Step 4: Simplify right side
    24,649.82x = 458,267,228.18
  5. Step 5: Solve for x
    x = 458,267,228.18/24,649.82
  6. Step 6: Final answer
    x = 18,591.10

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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.