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Finding the Fourth Proportional to 13,786.42, 19,020.11 and 8,117.71

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Solution

The fourth proportional to 13,786.42, 19,020.11 and 8,117.71 is: 11,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.42 : 19,020.11 = 8,117.71 : x
  2. Step 2: Convert to fraction form
    13,786.42/19,020.11 = 8,117.71/x
  3. Step 3: Cross multiply
    13,786.42x = 19,020.11 × 8,117.71
  4. Step 4: Simplify right side
    13,786.42x = 154,399,631.90
  5. Step 5: Solve for x
    x = 154,399,631.90/13,786.42
  6. Step 6: Final answer
    x = 11,199.40

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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.