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Finding the Fourth Proportional to 22,202.70, 30,641.67 and 12,774.30

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Solution

The fourth proportional to 22,202.70, 30,641.67 and 12,774.30 is: 17,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.70 : 30,641.67 = 12,774.30 : x
  2. Step 2: Convert to fraction form
    22,202.70/30,641.67 = 12,774.30/x
  3. Step 3: Cross multiply
    22,202.70x = 30,641.67 × 12,774.30
  4. Step 4: Simplify right side
    22,202.70x = 391,425,885.08
  5. Step 5: Solve for x
    x = 391,425,885.08/22,202.70
  6. Step 6: Final answer
    x = 17,629.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.