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Finding the Fourth Proportional to 13,866.81, 19,138.19 and 8,206.53

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Solution

The fourth proportional to 13,866.81, 19,138.19 and 8,206.53 is: 11,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.81 : 19,138.19 = 8,206.53 : x
  2. Step 2: Convert to fraction form
    13,866.81/19,138.19 = 8,206.53/x
  3. Step 3: Cross multiply
    13,866.81x = 19,138.19 × 8,206.53
  4. Step 4: Simplify right side
    13,866.81x = 157,058,089.35
  5. Step 5: Solve for x
    x = 157,058,089.35/13,866.81
  6. Step 6: Final answer
    x = 11,326.19

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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.