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Finding the Fourth Proportional to 13,824.48, 19,078.24 and 7,855.84

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Solution

The fourth proportional to 13,824.48, 19,078.24 and 7,855.84 is: 10,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.48 : 19,078.24 = 7,855.84 : x
  2. Step 2: Convert to fraction form
    13,824.48/19,078.24 = 7,855.84/x
  3. Step 3: Cross multiply
    13,824.48x = 19,078.24 × 7,855.84
  4. Step 4: Simplify right side
    13,824.48x = 149,875,600.92
  5. Step 5: Solve for x
    x = 149,875,600.92/13,824.48
  6. Step 6: Final answer
    x = 10,841.32

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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.