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Finding the Fourth Proportional to 13,138.16, 19,725.44 and 8,227.12

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Solution

The fourth proportional to 13,138.16, 19,725.44 and 8,227.12 is: 12,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.16 : 19,725.44 = 8,227.12 : x
  2. Step 2: Convert to fraction form
    13,138.16/19,725.44 = 8,227.12/x
  3. Step 3: Cross multiply
    13,138.16x = 19,725.44 × 8,227.12
  4. Step 4: Simplify right side
    13,138.16x = 162,283,561.93
  5. Step 5: Solve for x
    x = 162,283,561.93/13,138.16
  6. Step 6: Final answer
    x = 12,352.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.