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Finding the Fourth Proportional to 18,585.10, 27,868.42 and 6,738.40

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Solution

The fourth proportional to 18,585.10, 27,868.42 and 6,738.40 is: 10,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.10 : 27,868.42 = 6,738.40 : x
  2. Step 2: Convert to fraction form
    18,585.10/27,868.42 = 6,738.40/x
  3. Step 3: Cross multiply
    18,585.10x = 27,868.42 × 6,738.40
  4. Step 4: Simplify right side
    18,585.10x = 187,788,561.33
  5. Step 5: Solve for x
    x = 187,788,561.33/18,585.10
  6. Step 6: Final answer
    x = 10,104.25

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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.