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Finding the Fourth Proportional to 13,102.61, 18,083.20 and 7,439.12

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Solution

The fourth proportional to 13,102.61, 18,083.20 and 7,439.12 is: 10,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.61 : 18,083.20 = 7,439.12 : x
  2. Step 2: Convert to fraction form
    13,102.61/18,083.20 = 7,439.12/x
  3. Step 3: Cross multiply
    13,102.61x = 18,083.20 × 7,439.12
  4. Step 4: Simplify right side
    13,102.61x = 134,523,121.39
  5. Step 5: Solve for x
    x = 134,523,121.39/13,102.61
  6. Step 6: Final answer
    x = 10,266.89

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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.