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Finding the Fourth Proportional to 22,200.30, 33,277.74 and 10,523.34

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Solution

The fourth proportional to 22,200.30, 33,277.74 and 10,523.34 is: 15,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.30 : 33,277.74 = 10,523.34 : x
  2. Step 2: Convert to fraction form
    22,200.30/33,277.74 = 10,523.34/x
  3. Step 3: Cross multiply
    22,200.30x = 33,277.74 × 10,523.34
  4. Step 4: Simplify right side
    22,200.30x = 350,192,972.45
  5. Step 5: Solve for x
    x = 350,192,972.45/22,200.30
  6. Step 6: Final answer
    x = 15,774.25

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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.