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Finding the Fourth Proportional to 13,868.19, 19,138.86 and 8,206.29

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Solution

The fourth proportional to 13,868.19, 19,138.86 and 8,206.29 is: 11,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.19 : 19,138.86 = 8,206.29 : x
  2. Step 2: Convert to fraction form
    13,868.19/19,138.86 = 8,206.29/x
  3. Step 3: Cross multiply
    13,868.19x = 19,138.86 × 8,206.29
  4. Step 4: Simplify right side
    13,868.19x = 157,059,035.43
  5. Step 5: Solve for x
    x = 157,059,035.43/13,868.19
  6. Step 6: Final answer
    x = 11,325.13

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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.