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Finding the Fourth Proportional to 21,189.97, 29,242.06 and 11,758.51

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Solution

The fourth proportional to 21,189.97, 29,242.06 and 11,758.51 is: 16,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.97 : 29,242.06 = 11,758.51 : x
  2. Step 2: Convert to fraction form
    21,189.97/29,242.06 = 11,758.51/x
  3. Step 3: Cross multiply
    21,189.97x = 29,242.06 × 11,758.51
  4. Step 4: Simplify right side
    21,189.97x = 343,843,054.93
  5. Step 5: Solve for x
    x = 343,843,054.93/21,189.97
  6. Step 6: Final answer
    x = 16,226.69

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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.