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Finding the Fourth Proportional to 22,009.83, 33,013.31 and 6,426.15

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Solution

The fourth proportional to 22,009.83, 33,013.31 and 6,426.15 is: 9,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.83 : 33,013.31 = 6,426.15 : x
  2. Step 2: Convert to fraction form
    22,009.83/33,013.31 = 6,426.15/x
  3. Step 3: Cross multiply
    22,009.83x = 33,013.31 × 6,426.15
  4. Step 4: Simplify right side
    22,009.83x = 212,148,449.93
  5. Step 5: Solve for x
    x = 212,148,449.93/22,009.83
  6. Step 6: Final answer
    x = 9,638.80

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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.