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Finding the Fourth Proportional to 21,301.92, 31,954.68 and 5,719.50

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Solution

The fourth proportional to 21,301.92, 31,954.68 and 5,719.50 is: 8,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.92 : 31,954.68 = 5,719.50 : x
  2. Step 2: Convert to fraction form
    21,301.92/31,954.68 = 5,719.50/x
  3. Step 3: Cross multiply
    21,301.92x = 31,954.68 × 5,719.50
  4. Step 4: Simplify right side
    21,301.92x = 182,764,792.26
  5. Step 5: Solve for x
    x = 182,764,792.26/21,301.92
  6. Step 6: Final answer
    x = 8,579.73

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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.