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Finding the Fourth Proportional to 14,189.34, 21,297.13 and 7,174.29

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Solution

The fourth proportional to 14,189.34, 21,297.13 and 7,174.29 is: 10,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.34 : 21,297.13 = 7,174.29 : x
  2. Step 2: Convert to fraction form
    14,189.34/21,297.13 = 7,174.29/x
  3. Step 3: Cross multiply
    14,189.34x = 21,297.13 × 7,174.29
  4. Step 4: Simplify right side
    14,189.34x = 152,791,768.85
  5. Step 5: Solve for x
    x = 152,791,768.85/14,189.34
  6. Step 6: Final answer
    x = 10,768.07

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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.