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Finding the Fourth Proportional to 13,389.67, 18,475.09 and 8,084.78

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Solution

The fourth proportional to 13,389.67, 18,475.09 and 8,084.78 is: 11,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.67 : 18,475.09 = 8,084.78 : x
  2. Step 2: Convert to fraction form
    13,389.67/18,475.09 = 8,084.78/x
  3. Step 3: Cross multiply
    13,389.67x = 18,475.09 × 8,084.78
  4. Step 4: Simplify right side
    13,389.67x = 149,366,997.71
  5. Step 5: Solve for x
    x = 149,366,997.71/13,389.67
  6. Step 6: Final answer
    x = 11,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.