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Finding the Fourth Proportional to 15,891, 21,933.61 and 10,857.26

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Solution

The fourth proportional to 15,891, 21,933.61 and 10,857.26 is: 14,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891 : 21,933.61 = 10,857.26 : x
  2. Step 2: Convert to fraction form
    15,891/21,933.61 = 10,857.26/x
  3. Step 3: Cross multiply
    15,891x = 21,933.61 × 10,857.26
  4. Step 4: Simplify right side
    15,891x = 238,138,796.84
  5. Step 5: Solve for x
    x = 238,138,796.84/15,891
  6. Step 6: Final answer
    x = 14,985.77

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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.