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Finding the Fourth Proportional to 13,306.14, 18,363.96 and 7,641.48

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Solution

The fourth proportional to 13,306.14, 18,363.96 and 7,641.48 is: 10,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.14 : 18,363.96 = 7,641.48 : x
  2. Step 2: Convert to fraction form
    13,306.14/18,363.96 = 7,641.48/x
  3. Step 3: Cross multiply
    13,306.14x = 18,363.96 × 7,641.48
  4. Step 4: Simplify right side
    13,306.14x = 140,327,833.06
  5. Step 5: Solve for x
    x = 140,327,833.06/13,306.14
  6. Step 6: Final answer
    x = 10,546.10

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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.