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Finding the Fourth Proportional to 13,826.92, 19,080.74 and 7,859.24

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Solution

The fourth proportional to 13,826.92, 19,080.74 and 7,859.24 is: 10,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.92 : 19,080.74 = 7,859.24 : x
  2. Step 2: Convert to fraction form
    13,826.92/19,080.74 = 7,859.24/x
  3. Step 3: Cross multiply
    13,826.92x = 19,080.74 × 7,859.24
  4. Step 4: Simplify right side
    13,826.92x = 149,960,115.04
  5. Step 5: Solve for x
    x = 149,960,115.04/13,826.92
  6. Step 6: Final answer
    x = 10,845.52

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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.