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Finding the Fourth Proportional to 22,773.65, 31,442.25 and 14,287.40

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Solution

The fourth proportional to 22,773.65, 31,442.25 and 14,287.40 is: 19,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.65 : 31,442.25 = 14,287.40 : x
  2. Step 2: Convert to fraction form
    22,773.65/31,442.25 = 14,287.40/x
  3. Step 3: Cross multiply
    22,773.65x = 31,442.25 × 14,287.40
  4. Step 4: Simplify right side
    22,773.65x = 449,227,845.44
  5. Step 5: Solve for x
    x = 449,227,845.44/22,773.65
  6. Step 6: Final answer
    x = 19,725.78

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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.