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Finding the Fourth Proportional to 21,787.22, 32,686.50 and 6,206.06

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Solution

The fourth proportional to 21,787.22, 32,686.50 and 6,206.06 is: 9,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.22 : 32,686.50 = 6,206.06 : x
  2. Step 2: Convert to fraction form
    21,787.22/32,686.50 = 6,206.06/x
  3. Step 3: Cross multiply
    21,787.22x = 32,686.50 × 6,206.06
  4. Step 4: Simplify right side
    21,787.22x = 202,854,380.19
  5. Step 5: Solve for x
    x = 202,854,380.19/21,787.22
  6. Step 6: Final answer
    x = 9,310.71

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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.