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Finding the Fourth Proportional to 22,883.52, 31,582.23 and 12,815.79

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Solution

The fourth proportional to 22,883.52, 31,582.23 and 12,815.79 is: 17,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.52 : 31,582.23 = 12,815.79 : x
  2. Step 2: Convert to fraction form
    22,883.52/31,582.23 = 12,815.79/x
  3. Step 3: Cross multiply
    22,883.52x = 31,582.23 × 12,815.79
  4. Step 4: Simplify right side
    22,883.52x = 404,751,227.41
  5. Step 5: Solve for x
    x = 404,751,227.41/22,883.52
  6. Step 6: Final answer
    x = 17,687.45

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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.