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Finding the Fourth Proportional to 19,541.25, 29,351.23 and 11,659.17

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Solution

The fourth proportional to 19,541.25, 29,351.23 and 11,659.17 is: 17,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.25 : 29,351.23 = 11,659.17 : x
  2. Step 2: Convert to fraction form
    19,541.25/29,351.23 = 11,659.17/x
  3. Step 3: Cross multiply
    19,541.25x = 29,351.23 × 11,659.17
  4. Step 4: Simplify right side
    19,541.25x = 342,211,061.20
  5. Step 5: Solve for x
    x = 342,211,061.20/19,541.25
  6. Step 6: Final answer
    x = 17,512.24

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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.