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Finding the Fourth Proportional to 22,171.34, 30,595.68 and 13,214.21

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Solution

The fourth proportional to 22,171.34, 30,595.68 and 13,214.21 is: 18,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.34 : 30,595.68 = 13,214.21 : x
  2. Step 2: Convert to fraction form
    22,171.34/30,595.68 = 13,214.21/x
  3. Step 3: Cross multiply
    22,171.34x = 30,595.68 × 13,214.21
  4. Step 4: Simplify right side
    22,171.34x = 404,297,587.63
  5. Step 5: Solve for x
    x = 404,297,587.63/22,171.34
  6. Step 6: Final answer
    x = 18,235.14

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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.