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Finding the Fourth Proportional to 22,857.96, 31,545.63 and 12,789.63

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Solution

The fourth proportional to 22,857.96, 31,545.63 and 12,789.63 is: 17,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.96 : 31,545.63 = 12,789.63 : x
  2. Step 2: Convert to fraction form
    22,857.96/31,545.63 = 12,789.63/x
  3. Step 3: Cross multiply
    22,857.96x = 31,545.63 × 12,789.63
  4. Step 4: Simplify right side
    22,857.96x = 403,456,935.82
  5. Step 5: Solve for x
    x = 403,456,935.82/22,857.96
  6. Step 6: Final answer
    x = 17,650.61

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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.