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Finding the Fourth Proportional to 23,525.70, 35,285.13 and 7,731.33

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Solution

The fourth proportional to 23,525.70, 35,285.13 and 7,731.33 is: 11,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.70 : 35,285.13 = 7,731.33 : x
  2. Step 2: Convert to fraction form
    23,525.70/35,285.13 = 7,731.33/x
  3. Step 3: Cross multiply
    23,525.70x = 35,285.13 × 7,731.33
  4. Step 4: Simplify right side
    23,525.70x = 272,800,984.12
  5. Step 5: Solve for x
    x = 272,800,984.12/23,525.70
  6. Step 6: Final answer
    x = 11,595.87

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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.