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Finding the Fourth Proportional to 23,647.28, 35,470.92 and 8,064.50

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Solution

The fourth proportional to 23,647.28, 35,470.92 and 8,064.50 is: 12,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.28 : 35,470.92 = 8,064.50 : x
  2. Step 2: Convert to fraction form
    23,647.28/35,470.92 = 8,064.50/x
  3. Step 3: Cross multiply
    23,647.28x = 35,470.92 × 8,064.50
  4. Step 4: Simplify right side
    23,647.28x = 286,055,234.34
  5. Step 5: Solve for x
    x = 286,055,234.34/23,647.28
  6. Step 6: Final answer
    x = 12,096.75

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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.