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Finding the Fourth Proportional to 13,813.79, 19,065.21 and 8,149.18

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Solution

The fourth proportional to 13,813.79, 19,065.21 and 8,149.18 is: 11,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.79 : 19,065.21 = 8,149.18 : x
  2. Step 2: Convert to fraction form
    13,813.79/19,065.21 = 8,149.18/x
  3. Step 3: Cross multiply
    13,813.79x = 19,065.21 × 8,149.18
  4. Step 4: Simplify right side
    13,813.79x = 155,365,780.36
  5. Step 5: Solve for x
    x = 155,365,780.36/13,813.79
  6. Step 6: Final answer
    x = 11,247.15

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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.