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Finding the Fourth Proportional to 27,409.68, 41,125.04 and 9,642.18

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Solution

The fourth proportional to 27,409.68, 41,125.04 and 9,642.18 is: 14,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.68 : 41,125.04 = 9,642.18 : x
  2. Step 2: Convert to fraction form
    27,409.68/41,125.04 = 9,642.18/x
  3. Step 3: Cross multiply
    27,409.68x = 41,125.04 × 9,642.18
  4. Step 4: Simplify right side
    27,409.68x = 396,535,117.54
  5. Step 5: Solve for x
    x = 396,535,117.54/27,409.68
  6. Step 6: Final answer
    x = 14,466.97

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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.