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Finding the Fourth Proportional to 18,454.64, 27,686.27 and 5,974.16

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Solution

The fourth proportional to 18,454.64, 27,686.27 and 5,974.16 is: 8,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454.64 : 27,686.27 = 5,974.16 : x
  2. Step 2: Convert to fraction form
    18,454.64/27,686.27 = 5,974.16/x
  3. Step 3: Cross multiply
    18,454.64x = 27,686.27 × 5,974.16
  4. Step 4: Simplify right side
    18,454.64x = 165,402,083.29
  5. Step 5: Solve for x
    x = 165,402,083.29/18,454.64
  6. Step 6: Final answer
    x = 8,962.63

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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.