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Finding the Fourth Proportional to 24,471.96, 33,785.30 and 16,112.76

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Solution

The fourth proportional to 24,471.96, 33,785.30 and 16,112.76 is: 22,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.96 : 33,785.30 = 16,112.76 : x
  2. Step 2: Convert to fraction form
    24,471.96/33,785.30 = 16,112.76/x
  3. Step 3: Cross multiply
    24,471.96x = 33,785.30 × 16,112.76
  4. Step 4: Simplify right side
    24,471.96x = 544,374,349.86
  5. Step 5: Solve for x
    x = 544,374,349.86/24,471.96
  6. Step 6: Final answer
    x = 22,244.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.