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Finding the Fourth Proportional to 15,811.52, 21,821.28 and 9,843.44

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Solution

The fourth proportional to 15,811.52, 21,821.28 and 9,843.44 is: 13,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.52 : 21,821.28 = 9,843.44 : x
  2. Step 2: Convert to fraction form
    15,811.52/21,821.28 = 9,843.44/x
  3. Step 3: Cross multiply
    15,811.52x = 21,821.28 × 9,843.44
  4. Step 4: Simplify right side
    15,811.52x = 214,796,460.40
  5. Step 5: Solve for x
    x = 214,796,460.40/15,811.52
  6. Step 6: Final answer
    x = 13,584.81

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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.