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Finding the Fourth Proportional to 21,189.67, 29,241.93 and 11,758.39

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Solution

The fourth proportional to 21,189.67, 29,241.93 and 11,758.39 is: 16,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.67 : 29,241.93 = 11,758.39 : x
  2. Step 2: Convert to fraction form
    21,189.67/29,241.93 = 11,758.39/x
  3. Step 3: Cross multiply
    21,189.67x = 29,241.93 × 11,758.39
  4. Step 4: Simplify right side
    21,189.67x = 343,838,017.29
  5. Step 5: Solve for x
    x = 343,838,017.29/21,189.67
  6. Step 6: Final answer
    x = 16,226.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.