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Finding the Fourth Proportional to 13,823.88, 19,077.36 and 7,855.80

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Solution

The fourth proportional to 13,823.88, 19,077.36 and 7,855.80 is: 10,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.88 : 19,077.36 = 7,855.80 : x
  2. Step 2: Convert to fraction form
    13,823.88/19,077.36 = 7,855.80/x
  3. Step 3: Cross multiply
    13,823.88x = 19,077.36 × 7,855.80
  4. Step 4: Simplify right side
    13,823.88x = 149,867,924.69
  5. Step 5: Solve for x
    x = 149,867,924.69/13,823.88
  6. Step 6: Final answer
    x = 10,841.23

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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.