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Finding the Fourth Proportional to 21,411.80, 32,122.42 and 6,418.32

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Solution

The fourth proportional to 21,411.80, 32,122.42 and 6,418.32 is: 9,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.80 : 32,122.42 = 6,418.32 : x
  2. Step 2: Convert to fraction form
    21,411.80/32,122.42 = 6,418.32/x
  3. Step 3: Cross multiply
    21,411.80x = 32,122.42 × 6,418.32
  4. Step 4: Simplify right side
    21,411.80x = 206,171,970.73
  5. Step 5: Solve for x
    x = 206,171,970.73/21,411.80
  6. Step 6: Final answer
    x = 9,628.89

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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.