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Finding the Fourth Proportional to 23,875.28, 35,814.72 and 6,344.72

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Solution

The fourth proportional to 23,875.28, 35,814.72 and 6,344.72 is: 9,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.28 : 35,814.72 = 6,344.72 : x
  2. Step 2: Convert to fraction form
    23,875.28/35,814.72 = 6,344.72/x
  3. Step 3: Cross multiply
    23,875.28x = 35,814.72 × 6,344.72
  4. Step 4: Simplify right side
    23,875.28x = 227,234,370.28
  5. Step 5: Solve for x
    x = 227,234,370.28/23,875.28
  6. Step 6: Final answer
    x = 9,517.56

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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.