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Finding the Fourth Proportional to 21,189.64, 29,241.72 and 11,758.21

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Solution

The fourth proportional to 21,189.64, 29,241.72 and 11,758.21 is: 16,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.64 : 29,241.72 = 11,758.21 : x
  2. Step 2: Convert to fraction form
    21,189.64/29,241.72 = 11,758.21/x
  3. Step 3: Cross multiply
    21,189.64x = 29,241.72 × 11,758.21
  4. Step 4: Simplify right side
    21,189.64x = 343,830,284.52
  5. Step 5: Solve for x
    x = 343,830,284.52/21,189.64
  6. Step 6: Final answer
    x = 16,226.34

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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.