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Finding the Fourth Proportional to 22,694.69, 31,314.18 and 13,743.02

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Solution

The fourth proportional to 22,694.69, 31,314.18 and 13,743.02 is: 18,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.69 : 31,314.18 = 13,743.02 : x
  2. Step 2: Convert to fraction form
    22,694.69/31,314.18 = 13,743.02/x
  3. Step 3: Cross multiply
    22,694.69x = 31,314.18 × 13,743.02
  4. Step 4: Simplify right side
    22,694.69x = 430,351,402.02
  5. Step 5: Solve for x
    x = 430,351,402.02/22,694.69
  6. Step 6: Final answer
    x = 18,962.65

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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.