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Finding the Fourth Proportional to 23,191.50, 34,741.17 and 11,468.94

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Solution

The fourth proportional to 23,191.50, 34,741.17 and 11,468.94 is: 17,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.50 : 34,741.17 = 11,468.94 : x
  2. Step 2: Convert to fraction form
    23,191.50/34,741.17 = 11,468.94/x
  3. Step 3: Cross multiply
    23,191.50x = 34,741.17 × 11,468.94
  4. Step 4: Simplify right side
    23,191.50x = 398,444,394.26
  5. Step 5: Solve for x
    x = 398,444,394.26/23,191.50
  6. Step 6: Final answer
    x = 17,180.62

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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.