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Finding the Fourth Proportional to 21,251.16, 31,856.40 and 7,920.63

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Solution

The fourth proportional to 21,251.16, 31,856.40 and 7,920.63 is: 11,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.16 : 31,856.40 = 7,920.63 : x
  2. Step 2: Convert to fraction form
    21,251.16/31,856.40 = 7,920.63/x
  3. Step 3: Cross multiply
    21,251.16x = 31,856.40 × 7,920.63
  4. Step 4: Simplify right side
    21,251.16x = 252,322,757.53
  5. Step 5: Solve for x
    x = 252,322,757.53/21,251.16
  6. Step 6: Final answer
    x = 11,873.36

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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.