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Finding the Fourth Proportional to 22,879.72, 31,578.94 and 13,930.18

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Solution

The fourth proportional to 22,879.72, 31,578.94 and 13,930.18 is: 19,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.72 : 31,578.94 = 13,930.18 : x
  2. Step 2: Convert to fraction form
    22,879.72/31,578.94 = 13,930.18/x
  3. Step 3: Cross multiply
    22,879.72x = 31,578.94 × 13,930.18
  4. Step 4: Simplify right side
    22,879.72x = 439,900,318.41
  5. Step 5: Solve for x
    x = 439,900,318.41/22,879.72
  6. Step 6: Final answer
    x = 19,226.65

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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.