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Finding the Fourth Proportional to 22,202.56, 33,298.98 and 12,822.76

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Solution

The fourth proportional to 22,202.56, 33,298.98 and 12,822.76 is: 19,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.56 : 33,298.98 = 12,822.76 : x
  2. Step 2: Convert to fraction form
    22,202.56/33,298.98 = 12,822.76/x
  3. Step 3: Cross multiply
    22,202.56x = 33,298.98 × 12,822.76
  4. Step 4: Simplify right side
    22,202.56x = 426,984,828.78
  5. Step 5: Solve for x
    x = 426,984,828.78/22,202.56
  6. Step 6: Final answer
    x = 19,231.33

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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.