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Finding the Fourth Proportional to 18,642.10, 25,741.66 and 12,382.42

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Solution

The fourth proportional to 18,642.10, 25,741.66 and 12,382.42 is: 17,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.10 : 25,741.66 = 12,382.42 : x
  2. Step 2: Convert to fraction form
    18,642.10/25,741.66 = 12,382.42/x
  3. Step 3: Cross multiply
    18,642.10x = 25,741.66 × 12,382.42
  4. Step 4: Simplify right side
    18,642.10x = 318,744,045.62
  5. Step 5: Solve for x
    x = 318,744,045.62/18,642.10
  6. Step 6: Final answer
    x = 17,098.08

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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.