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Finding the Fourth Proportional to 13,823.52, 19,076.88 and 7,855.44

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Solution

The fourth proportional to 13,823.52, 19,076.88 and 7,855.44 is: 10,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.52 : 19,076.88 = 7,855.44 : x
  2. Step 2: Convert to fraction form
    13,823.52/19,076.88 = 7,855.44/x
  3. Step 3: Cross multiply
    13,823.52x = 19,076.88 × 7,855.44
  4. Step 4: Simplify right side
    13,823.52x = 149,857,286.23
  5. Step 5: Solve for x
    x = 149,857,286.23/13,823.52
  6. Step 6: Final answer
    x = 10,840.75

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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.