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Finding the Fourth Proportional to 21,189.57, 29,242.50 and 11,758.14

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Solution

The fourth proportional to 21,189.57, 29,242.50 and 11,758.14 is: 16,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.57 : 29,242.50 = 11,758.14 : x
  2. Step 2: Convert to fraction form
    21,189.57/29,242.50 = 11,758.14/x
  3. Step 3: Cross multiply
    21,189.57x = 29,242.50 × 11,758.14
  4. Step 4: Simplify right side
    21,189.57x = 343,837,408.95
  5. Step 5: Solve for x
    x = 343,837,408.95/21,189.57
  6. Step 6: Final answer
    x = 16,226.73

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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.