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Finding the Fourth Proportional to 18,541.26, 27,742.10 and 13,005.42

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Solution

The fourth proportional to 18,541.26, 27,742.10 and 13,005.42 is: 19,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,541.26 : 27,742.10 = 13,005.42 : x
  2. Step 2: Convert to fraction form
    18,541.26/27,742.10 = 13,005.42/x
  3. Step 3: Cross multiply
    18,541.26x = 27,742.10 × 13,005.42
  4. Step 4: Simplify right side
    18,541.26x = 360,797,662.18
  5. Step 5: Solve for x
    x = 360,797,662.18/18,541.26
  6. Step 6: Final answer
    x = 19,459.18

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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.