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Finding the Fourth Proportional to 22,308.25, 33,475.34 and 9,996.25

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Solution

The fourth proportional to 22,308.25, 33,475.34 and 9,996.25 is: 15,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.25 : 33,475.34 = 9,996.25 : x
  2. Step 2: Convert to fraction form
    22,308.25/33,475.34 = 9,996.25/x
  3. Step 3: Cross multiply
    22,308.25x = 33,475.34 × 9,996.25
  4. Step 4: Simplify right side
    22,308.25x = 334,627,867.48
  5. Step 5: Solve for x
    x = 334,627,867.48/22,308.25
  6. Step 6: Final answer
    x = 15,000.18

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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.