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Finding the Fourth Proportional to 27,402.96, 41,104.76 and 9,634.14

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Solution

The fourth proportional to 27,402.96, 41,104.76 and 9,634.14 is: 14,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.96 : 41,104.76 = 9,634.14 : x
  2. Step 2: Convert to fraction form
    27,402.96/41,104.76 = 9,634.14/x
  3. Step 3: Cross multiply
    27,402.96x = 41,104.76 × 9,634.14
  4. Step 4: Simplify right side
    27,402.96x = 396,009,036.59
  5. Step 5: Solve for x
    x = 396,009,036.59/27,402.96
  6. Step 6: Final answer
    x = 14,451.32

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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.