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Finding the Fourth Proportional to 23,698.24, 35,549.25 and 8,116

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Solution

The fourth proportional to 23,698.24, 35,549.25 and 8,116 is: 12,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.24 : 35,549.25 = 8,116 : x
  2. Step 2: Convert to fraction form
    23,698.24/35,549.25 = 8,116/x
  3. Step 3: Cross multiply
    23,698.24x = 35,549.25 × 8,116
  4. Step 4: Simplify right side
    23,698.24x = 288,517,713
  5. Step 5: Solve for x
    x = 288,517,713/23,698.24
  6. Step 6: Final answer
    x = 12,174.65

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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.