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Finding the Fourth Proportional to 13,786.66, 19,019.49 and 8,478.34

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Solution

The fourth proportional to 13,786.66, 19,019.49 and 8,478.34 is: 11,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.66 : 19,019.49 = 8,478.34 : x
  2. Step 2: Convert to fraction form
    13,786.66/19,019.49 = 8,478.34/x
  3. Step 3: Cross multiply
    13,786.66x = 19,019.49 × 8,478.34
  4. Step 4: Simplify right side
    13,786.66x = 161,253,702.85
  5. Step 5: Solve for x
    x = 161,253,702.85/13,786.66
  6. Step 6: Final answer
    x = 11,696.36

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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.