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Finding the Fourth Proportional to 22,545.82, 31,107.63 and 14,578.46

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Solution

The fourth proportional to 22,545.82, 31,107.63 and 14,578.46 is: 20,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.82 : 31,107.63 = 14,578.46 : x
  2. Step 2: Convert to fraction form
    22,545.82/31,107.63 = 14,578.46/x
  3. Step 3: Cross multiply
    22,545.82x = 31,107.63 × 14,578.46
  4. Step 4: Simplify right side
    22,545.82x = 453,501,355.43
  5. Step 5: Solve for x
    x = 453,501,355.43/22,545.82
  6. Step 6: Final answer
    x = 20,114.65

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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.