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Finding the Fourth Proportional to 15,667.83, 23,472.32 and 7,761.15

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Solution

The fourth proportional to 15,667.83, 23,472.32 and 7,761.15 is: 11,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.83 : 23,472.32 = 7,761.15 : x
  2. Step 2: Convert to fraction form
    15,667.83/23,472.32 = 7,761.15/x
  3. Step 3: Cross multiply
    15,667.83x = 23,472.32 × 7,761.15
  4. Step 4: Simplify right side
    15,667.83x = 182,172,157.56
  5. Step 5: Solve for x
    x = 182,172,157.56/15,667.83
  6. Step 6: Final answer
    x = 11,627.15

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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.