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Finding the Fourth Proportional to 15,920.82, 23,882.74 and 6,561.46

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Solution

The fourth proportional to 15,920.82, 23,882.74 and 6,561.46 is: 9,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.82 : 23,882.74 = 6,561.46 : x
  2. Step 2: Convert to fraction form
    15,920.82/23,882.74 = 6,561.46/x
  3. Step 3: Cross multiply
    15,920.82x = 23,882.74 × 6,561.46
  4. Step 4: Simplify right side
    15,920.82x = 156,705,643.20
  5. Step 5: Solve for x
    x = 156,705,643.20/15,920.82
  6. Step 6: Final answer
    x = 9,842.81

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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.