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Finding the Fourth Proportional to 21,644.56, 32,471.25 and 8,317

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Solution

The fourth proportional to 21,644.56, 32,471.25 and 8,317 is: 12,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.56 : 32,471.25 = 8,317 : x
  2. Step 2: Convert to fraction form
    21,644.56/32,471.25 = 8,317/x
  3. Step 3: Cross multiply
    21,644.56x = 32,471.25 × 8,317
  4. Step 4: Simplify right side
    21,644.56x = 270,063,386.25
  5. Step 5: Solve for x
    x = 270,063,386.25/21,644.56
  6. Step 6: Final answer
    x = 12,477.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.