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Finding the Fourth Proportional to 27,126.64, 40,693.80 and 8,408.15

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Solution

The fourth proportional to 27,126.64, 40,693.80 and 8,408.15 is: 12,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126.64 : 40,693.80 = 8,408.15 : x
  2. Step 2: Convert to fraction form
    27,126.64/40,693.80 = 8,408.15/x
  3. Step 3: Cross multiply
    27,126.64x = 40,693.80 × 8,408.15
  4. Step 4: Simplify right side
    27,126.64x = 342,159,371.00
  5. Step 5: Solve for x
    x = 342,159,371.00/27,126.64
  6. Step 6: Final answer
    x = 12,613.41

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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.