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Finding the Fourth Proportional to 15,680.44, 23,526.06 and 7,882.84

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Solution

The fourth proportional to 15,680.44, 23,526.06 and 7,882.84 is: 11,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.44 : 23,526.06 = 7,882.84 : x
  2. Step 2: Convert to fraction form
    15,680.44/23,526.06 = 7,882.84/x
  3. Step 3: Cross multiply
    15,680.44x = 23,526.06 × 7,882.84
  4. Step 4: Simplify right side
    15,680.44x = 185,452,166.81
  5. Step 5: Solve for x
    x = 185,452,166.81/15,680.44
  6. Step 6: Final answer
    x = 11,826.97

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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.