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Finding the Fourth Proportional to 13,691.66, 18,895.14 and 7,723.28

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Solution

The fourth proportional to 13,691.66, 18,895.14 and 7,723.28 is: 10,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.66 : 18,895.14 = 7,723.28 : x
  2. Step 2: Convert to fraction form
    13,691.66/18,895.14 = 7,723.28/x
  3. Step 3: Cross multiply
    13,691.66x = 18,895.14 × 7,723.28
  4. Step 4: Simplify right side
    13,691.66x = 145,932,504.10
  5. Step 5: Solve for x
    x = 145,932,504.10/13,691.66
  6. Step 6: Final answer
    x = 10,658.50

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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.