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Finding the Fourth Proportional to 22,530.84, 33,793.38 and 9,380.76

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Solution

The fourth proportional to 22,530.84, 33,793.38 and 9,380.76 is: 14,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.84 : 33,793.38 = 9,380.76 : x
  2. Step 2: Convert to fraction form
    22,530.84/33,793.38 = 9,380.76/x
  3. Step 3: Cross multiply
    22,530.84x = 33,793.38 × 9,380.76
  4. Step 4: Simplify right side
    22,530.84x = 317,007,587.37
  5. Step 5: Solve for x
    x = 317,007,587.37/22,530.84
  6. Step 6: Final answer
    x = 14,069.94

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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.