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Finding the Fourth Proportional to 27,126.99, 40,691.84 and 8,419.77

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Solution

The fourth proportional to 27,126.99, 40,691.84 and 8,419.77 is: 12,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126.99 : 40,691.84 = 8,419.77 : x
  2. Step 2: Convert to fraction form
    27,126.99/40,691.84 = 8,419.77/x
  3. Step 3: Cross multiply
    27,126.99x = 40,691.84 × 8,419.77
  4. Step 4: Simplify right side
    27,126.99x = 342,615,891.58
  5. Step 5: Solve for x
    x = 342,615,891.58/27,126.99
  6. Step 6: Final answer
    x = 12,630.07

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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.