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Finding the Fourth Proportional to 21,789.22, 32,689.50 and 6,208.06

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Solution

The fourth proportional to 21,789.22, 32,689.50 and 6,208.06 is: 9,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.22 : 32,689.50 = 6,208.06 : x
  2. Step 2: Convert to fraction form
    21,789.22/32,689.50 = 6,208.06/x
  3. Step 3: Cross multiply
    21,789.22x = 32,689.50 × 6,208.06
  4. Step 4: Simplify right side
    21,789.22x = 202,938,377.37
  5. Step 5: Solve for x
    x = 202,938,377.37/21,789.22
  6. Step 6: Final answer
    x = 9,313.71

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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.