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Finding the Fourth Proportional to 21,976.46, 32,964.32 and 6,983.52

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Solution

The fourth proportional to 21,976.46, 32,964.32 and 6,983.52 is: 10,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.46 : 32,964.32 = 6,983.52 : x
  2. Step 2: Convert to fraction form
    21,976.46/32,964.32 = 6,983.52/x
  3. Step 3: Cross multiply
    21,976.46x = 32,964.32 × 6,983.52
  4. Step 4: Simplify right side
    21,976.46x = 230,206,842.57
  5. Step 5: Solve for x
    x = 230,206,842.57/21,976.46
  6. Step 6: Final answer
    x = 10,475.15

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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.