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Finding the Fourth Proportional to 24,065.91, 33,214.05 and 13,456.13

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Solution

The fourth proportional to 24,065.91, 33,214.05 and 13,456.13 is: 18,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.91 : 33,214.05 = 13,456.13 : x
  2. Step 2: Convert to fraction form
    24,065.91/33,214.05 = 13,456.13/x
  3. Step 3: Cross multiply
    24,065.91x = 33,214.05 × 13,456.13
  4. Step 4: Simplify right side
    24,065.91x = 446,932,408.56
  5. Step 5: Solve for x
    x = 446,932,408.56/24,065.91
  6. Step 6: Final answer
    x = 18,571.18

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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.