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Finding the Fourth Proportional to 22,336.30, 33,512.64 and 9,189.70

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Solution

The fourth proportional to 22,336.30, 33,512.64 and 9,189.70 is: 13,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.30 : 33,512.64 = 9,189.70 : x
  2. Step 2: Convert to fraction form
    22,336.30/33,512.64 = 9,189.70/x
  3. Step 3: Cross multiply
    22,336.30x = 33,512.64 × 9,189.70
  4. Step 4: Simplify right side
    22,336.30x = 307,971,107.81
  5. Step 5: Solve for x
    x = 307,971,107.81/22,336.30
  6. Step 6: Final answer
    x = 13,787.92

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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.