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Finding the Fourth Proportional to 24,254.64, 33,471.84 and 15,871.08

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Solution

The fourth proportional to 24,254.64, 33,471.84 and 15,871.08 is: 21,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.64 : 33,471.84 = 15,871.08 : x
  2. Step 2: Convert to fraction form
    24,254.64/33,471.84 = 15,871.08/x
  3. Step 3: Cross multiply
    24,254.64x = 33,471.84 × 15,871.08
  4. Step 4: Simplify right side
    24,254.64x = 531,234,250.39
  5. Step 5: Solve for x
    x = 531,234,250.39/24,254.64
  6. Step 6: Final answer
    x = 21,902.38

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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.