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Finding the Fourth Proportional to 24,525.56, 36,775.38 and 10,667

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Solution

The fourth proportional to 24,525.56, 36,775.38 and 10,667 is: 15,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525.56 : 36,775.38 = 10,667 : x
  2. Step 2: Convert to fraction form
    24,525.56/36,775.38 = 10,667/x
  3. Step 3: Cross multiply
    24,525.56x = 36,775.38 × 10,667
  4. Step 4: Simplify right side
    24,525.56x = 392,282,978.46
  5. Step 5: Solve for x
    x = 392,282,978.46/24,525.56
  6. Step 6: Final answer
    x = 15,994.86

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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.