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Finding the Fourth Proportional to 27,446.56, 41,168.88 and 11,641.42

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Solution

The fourth proportional to 27,446.56, 41,168.88 and 11,641.42 is: 17,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.56 : 41,168.88 = 11,641.42 : x
  2. Step 2: Convert to fraction form
    27,446.56/41,168.88 = 11,641.42/x
  3. Step 3: Cross multiply
    27,446.56x = 41,168.88 × 11,641.42
  4. Step 4: Simplify right side
    27,446.56x = 479,264,223.01
  5. Step 5: Solve for x
    x = 479,264,223.01/27,446.56
  6. Step 6: Final answer
    x = 17,461.72

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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.