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Finding the Fourth Proportional to 21,394.71, 32,105.84 and 11,540.79

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Solution

The fourth proportional to 21,394.71, 32,105.84 and 11,540.79 is: 17,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.71 : 32,105.84 = 11,540.79 : x
  2. Step 2: Convert to fraction form
    21,394.71/32,105.84 = 11,540.79/x
  3. Step 3: Cross multiply
    21,394.71x = 32,105.84 × 11,540.79
  4. Step 4: Simplify right side
    21,394.71x = 370,526,699.51
  5. Step 5: Solve for x
    x = 370,526,699.51/21,394.71
  6. Step 6: Final answer
    x = 17,318.61

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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.