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Finding the Fourth Proportional to 15,384.75, 21,230.96 and 8,311.18

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Solution

The fourth proportional to 15,384.75, 21,230.96 and 8,311.18 is: 11,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.75 : 21,230.96 = 8,311.18 : x
  2. Step 2: Convert to fraction form
    15,384.75/21,230.96 = 8,311.18/x
  3. Step 3: Cross multiply
    15,384.75x = 21,230.96 × 8,311.18
  4. Step 4: Simplify right side
    15,384.75x = 176,454,182.42
  5. Step 5: Solve for x
    x = 176,454,182.42/15,384.75
  6. Step 6: Final answer
    x = 11,469.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.