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Finding the Fourth Proportional to 22,302.12, 33,456.78 and 7,512.30

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Solution

The fourth proportional to 22,302.12, 33,456.78 and 7,512.30 is: 11,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.12 : 33,456.78 = 7,512.30 : x
  2. Step 2: Convert to fraction form
    22,302.12/33,456.78 = 7,512.30/x
  3. Step 3: Cross multiply
    22,302.12x = 33,456.78 × 7,512.30
  4. Step 4: Simplify right side
    22,302.12x = 251,337,368.39
  5. Step 5: Solve for x
    x = 251,337,368.39/22,302.12
  6. Step 6: Final answer
    x = 11,269.66

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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.