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Finding the Fourth Proportional to 23,508.33, 35,237.72 and 7,709.24

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Solution

The fourth proportional to 23,508.33, 35,237.72 and 7,709.24 is: 11,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.33 : 35,237.72 = 7,709.24 : x
  2. Step 2: Convert to fraction form
    23,508.33/35,237.72 = 7,709.24/x
  3. Step 3: Cross multiply
    23,508.33x = 35,237.72 × 7,709.24
  4. Step 4: Simplify right side
    23,508.33x = 271,655,825.80
  5. Step 5: Solve for x
    x = 271,655,825.80/23,508.33
  6. Step 6: Final answer
    x = 11,555.73

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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.