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Finding the Fourth Proportional to 27,114.92, 40,613.14 and 11,271.92

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Solution

The fourth proportional to 27,114.92, 40,613.14 and 11,271.92 is: 16,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.92 : 40,613.14 = 11,271.92 : x
  2. Step 2: Convert to fraction form
    27,114.92/40,613.14 = 11,271.92/x
  3. Step 3: Cross multiply
    27,114.92x = 40,613.14 × 11,271.92
  4. Step 4: Simplify right side
    27,114.92x = 457,788,065.03
  5. Step 5: Solve for x
    x = 457,788,065.03/27,114.92
  6. Step 6: Final answer
    x = 16,883.25

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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.