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Finding the Fourth Proportional to 18,585.90, 27,878.74 and 4,546.02

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Solution

The fourth proportional to 18,585.90, 27,878.74 and 4,546.02 is: 6,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.90 : 27,878.74 = 4,546.02 : x
  2. Step 2: Convert to fraction form
    18,585.90/27,878.74 = 4,546.02/x
  3. Step 3: Cross multiply
    18,585.90x = 27,878.74 × 4,546.02
  4. Step 4: Simplify right side
    18,585.90x = 126,737,309.61
  5. Step 5: Solve for x
    x = 126,737,309.61/18,585.90
  6. Step 6: Final answer
    x = 6,819.00

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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.