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Finding the Fourth Proportional to 12,301.29, 18,454.86 and 3,981.30

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Solution

The fourth proportional to 12,301.29, 18,454.86 and 3,981.30 is: 5,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.29 : 18,454.86 = 3,981.30 : x
  2. Step 2: Convert to fraction form
    12,301.29/18,454.86 = 3,981.30/x
  3. Step 3: Cross multiply
    12,301.29x = 18,454.86 × 3,981.30
  4. Step 4: Simplify right side
    12,301.29x = 73,474,389.07
  5. Step 5: Solve for x
    x = 73,474,389.07/12,301.29
  6. Step 6: Final answer
    x = 5,972.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.