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Finding the Fourth Proportional to 21,189.54, 29,242 and 11,758.70

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Solution

The fourth proportional to 21,189.54, 29,242 and 11,758.70 is: 16,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.54 : 29,242 = 11,758.70 : x
  2. Step 2: Convert to fraction form
    21,189.54/29,242 = 11,758.70/x
  3. Step 3: Cross multiply
    21,189.54x = 29,242 × 11,758.70
  4. Step 4: Simplify right side
    21,189.54x = 343,847,905.40
  5. Step 5: Solve for x
    x = 343,847,905.40/21,189.54
  6. Step 6: Final answer
    x = 16,227.25

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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.