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Finding the Fourth Proportional to 13,691.77, 18,895.31 and 7,723.32

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Solution

The fourth proportional to 13,691.77, 18,895.31 and 7,723.32 is: 10,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.77 : 18,895.31 = 7,723.32 : x
  2. Step 2: Convert to fraction form
    13,691.77/18,895.31 = 7,723.32/x
  3. Step 3: Cross multiply
    13,691.77x = 18,895.31 × 7,723.32
  4. Step 4: Simplify right side
    13,691.77x = 145,934,445.12
  5. Step 5: Solve for x
    x = 145,934,445.12/13,691.77
  6. Step 6: Final answer
    x = 10,658.55

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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.