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Finding the Fourth Proportional to 21,971.79, 32,959.23 and 8,824.16

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Solution

The fourth proportional to 21,971.79, 32,959.23 and 8,824.16 is: 13,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.79 : 32,959.23 = 8,824.16 : x
  2. Step 2: Convert to fraction form
    21,971.79/32,959.23 = 8,824.16/x
  3. Step 3: Cross multiply
    21,971.79x = 32,959.23 × 8,824.16
  4. Step 4: Simplify right side
    21,971.79x = 290,837,568.30
  5. Step 5: Solve for x
    x = 290,837,568.30/21,971.79
  6. Step 6: Final answer
    x = 13,236.86

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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.