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Finding the Fourth Proportional to 22,296.49, 33,432.64 and 9,801.90

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Solution

The fourth proportional to 22,296.49, 33,432.64 and 9,801.90 is: 14,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.49 : 33,432.64 = 9,801.90 : x
  2. Step 2: Convert to fraction form
    22,296.49/33,432.64 = 9,801.90/x
  3. Step 3: Cross multiply
    22,296.49x = 33,432.64 × 9,801.90
  4. Step 4: Simplify right side
    22,296.49x = 327,703,394.02
  5. Step 5: Solve for x
    x = 327,703,394.02/22,296.49
  6. Step 6: Final answer
    x = 14,697.53

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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.