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Finding the Fourth Proportional to 21,821.44, 32,711.84 and 7,960

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Solution

The fourth proportional to 21,821.44, 32,711.84 and 7,960 is: 11,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.44 : 32,711.84 = 7,960 : x
  2. Step 2: Convert to fraction form
    21,821.44/32,711.84 = 7,960/x
  3. Step 3: Cross multiply
    21,821.44x = 32,711.84 × 7,960
  4. Step 4: Simplify right side
    21,821.44x = 260,386,246.40
  5. Step 5: Solve for x
    x = 260,386,246.40/21,821.44
  6. Step 6: Final answer
    x = 11,932.59

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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.