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Finding the Fourth Proportional to 23,822.55, 35,731.07 and 6,293.75

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Solution

The fourth proportional to 23,822.55, 35,731.07 and 6,293.75 is: 9,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.55 : 35,731.07 = 6,293.75 : x
  2. Step 2: Convert to fraction form
    23,822.55/35,731.07 = 6,293.75/x
  3. Step 3: Cross multiply
    23,822.55x = 35,731.07 × 6,293.75
  4. Step 4: Simplify right side
    23,822.55x = 224,882,211.69
  5. Step 5: Solve for x
    x = 224,882,211.69/23,822.55
  6. Step 6: Final answer
    x = 9,439.89

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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.