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Finding the Fourth Proportional to 27,407.86, 41,116.08 and 11,612.92

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Solution

The fourth proportional to 27,407.86, 41,116.08 and 11,612.92 is: 17,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.86 : 41,116.08 = 11,612.92 : x
  2. Step 2: Convert to fraction form
    27,407.86/41,116.08 = 11,612.92/x
  3. Step 3: Cross multiply
    27,407.86x = 41,116.08 × 11,612.92
  4. Step 4: Simplify right side
    27,407.86x = 477,477,747.75
  5. Step 5: Solve for x
    x = 477,477,747.75/27,407.86
  6. Step 6: Final answer
    x = 17,421.20

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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.