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Finding the Fourth Proportional to 27,049.62, 40,580.19 and 11,466.90

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Solution

The fourth proportional to 27,049.62, 40,580.19 and 11,466.90 is: 17,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.62 : 40,580.19 = 11,466.90 : x
  2. Step 2: Convert to fraction form
    27,049.62/40,580.19 = 11,466.90/x
  3. Step 3: Cross multiply
    27,049.62x = 40,580.19 × 11,466.90
  4. Step 4: Simplify right side
    27,049.62x = 465,328,980.71
  5. Step 5: Solve for x
    x = 465,328,980.71/27,049.62
  6. Step 6: Final answer
    x = 17,202.79

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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.