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Finding the Fourth Proportional to 15,845, 21,859.10 and 10,177.92

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Solution

The fourth proportional to 15,845, 21,859.10 and 10,177.92 is: 14,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,845 : 21,859.10 = 10,177.92 : x
  2. Step 2: Convert to fraction form
    15,845/21,859.10 = 10,177.92/x
  3. Step 3: Cross multiply
    15,845x = 21,859.10 × 10,177.92
  4. Step 4: Simplify right side
    15,845x = 222,480,171.07
  5. Step 5: Solve for x
    x = 222,480,171.07/15,845
  6. Step 6: Final answer
    x = 14,041.03

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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.