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Finding the Fourth Proportional to 13,826.16, 19,080.12 and 7,859.80

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Solution

The fourth proportional to 13,826.16, 19,080.12 and 7,859.80 is: 10,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.16 : 19,080.12 = 7,859.80 : x
  2. Step 2: Convert to fraction form
    13,826.16/19,080.12 = 7,859.80/x
  3. Step 3: Cross multiply
    13,826.16x = 19,080.12 × 7,859.80
  4. Step 4: Simplify right side
    13,826.16x = 149,965,927.18
  5. Step 5: Solve for x
    x = 149,965,927.18/13,826.16
  6. Step 6: Final answer
    x = 10,846.53

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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.