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Finding the Fourth Proportional to 23,352.30, 35,023.19 and 11,494.31

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Solution

The fourth proportional to 23,352.30, 35,023.19 and 11,494.31 is: 17,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.30 : 35,023.19 = 11,494.31 : x
  2. Step 2: Convert to fraction form
    23,352.30/35,023.19 = 11,494.31/x
  3. Step 3: Cross multiply
    23,352.30x = 35,023.19 × 11,494.31
  4. Step 4: Simplify right side
    23,352.30x = 402,567,170.46
  5. Step 5: Solve for x
    x = 402,567,170.46/23,352.30
  6. Step 6: Final answer
    x = 17,238.87

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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.