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Finding the Fourth Proportional to 13,691.20, 18,892.49 and 7,723.93

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Solution

The fourth proportional to 13,691.20, 18,892.49 and 7,723.93 is: 10,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.20 : 18,892.49 = 7,723.93 : x
  2. Step 2: Convert to fraction form
    13,691.20/18,892.49 = 7,723.93/x
  3. Step 3: Cross multiply
    13,691.20x = 18,892.49 × 7,723.93
  4. Step 4: Simplify right side
    13,691.20x = 145,924,270.29
  5. Step 5: Solve for x
    x = 145,924,270.29/13,691.20
  6. Step 6: Final answer
    x = 10,658.25

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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.