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Finding the Fourth Proportional to 23,823.66, 35,732.76 and 6,294.87

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Solution

The fourth proportional to 23,823.66, 35,732.76 and 6,294.87 is: 9,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.66 : 35,732.76 = 6,294.87 : x
  2. Step 2: Convert to fraction form
    23,823.66/35,732.76 = 6,294.87/x
  3. Step 3: Cross multiply
    23,823.66x = 35,732.76 × 6,294.87
  4. Step 4: Simplify right side
    23,823.66x = 224,933,078.94
  5. Step 5: Solve for x
    x = 224,933,078.94/23,823.66
  6. Step 6: Final answer
    x = 9,441.58

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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.