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Finding the Fourth Proportional to 16,578.18, 22,854.47 and 11,854.26

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Solution

The fourth proportional to 16,578.18, 22,854.47 and 11,854.26 is: 16,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.18 : 22,854.47 = 11,854.26 : x
  2. Step 2: Convert to fraction form
    16,578.18/22,854.47 = 11,854.26/x
  3. Step 3: Cross multiply
    16,578.18x = 22,854.47 × 11,854.26
  4. Step 4: Simplify right side
    16,578.18x = 270,922,770.27
  5. Step 5: Solve for x
    x = 270,922,770.27/16,578.18
  6. Step 6: Final answer
    x = 16,342.13

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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.