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Finding the Fourth Proportional to 21,916.24, 32,871.12 and 8,062

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Solution

The fourth proportional to 21,916.24, 32,871.12 and 8,062 is: 12,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916.24 : 32,871.12 = 8,062 : x
  2. Step 2: Convert to fraction form
    21,916.24/32,871.12 = 8,062/x
  3. Step 3: Cross multiply
    21,916.24x = 32,871.12 × 8,062
  4. Step 4: Simplify right side
    21,916.24x = 265,006,969.44
  5. Step 5: Solve for x
    x = 265,006,969.44/21,916.24
  6. Step 6: Final answer
    x = 12,091.81

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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.