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Finding the Fourth Proportional to 15,856.14, 23,775.30 and 7,941

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Solution

The fourth proportional to 15,856.14, 23,775.30 and 7,941 is: 11,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.14 : 23,775.30 = 7,941 : x
  2. Step 2: Convert to fraction form
    15,856.14/23,775.30 = 7,941/x
  3. Step 3: Cross multiply
    15,856.14x = 23,775.30 × 7,941
  4. Step 4: Simplify right side
    15,856.14x = 188,799,657.30
  5. Step 5: Solve for x
    x = 188,799,657.30/15,856.14
  6. Step 6: Final answer
    x = 11,907.04

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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.