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Finding the Fourth Proportional to 22,171.78, 30,596.29 and 13,214.67

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Solution

The fourth proportional to 22,171.78, 30,596.29 and 13,214.67 is: 18,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.78 : 30,596.29 = 13,214.67 : x
  2. Step 2: Convert to fraction form
    22,171.78/30,596.29 = 13,214.67/x
  3. Step 3: Cross multiply
    22,171.78x = 30,596.29 × 13,214.67
  4. Step 4: Simplify right side
    22,171.78x = 404,319,875.57
  5. Step 5: Solve for x
    x = 404,319,875.57/22,171.78
  6. Step 6: Final answer
    x = 18,235.79

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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.