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Finding the Fourth Proportional to 13,601, 18,769.38 and 8,015.40

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Solution

The fourth proportional to 13,601, 18,769.38 and 8,015.40 is: 11,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601 : 18,769.38 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    13,601/18,769.38 = 8,015.40/x
  3. Step 3: Cross multiply
    13,601x = 18,769.38 × 8,015.40
  4. Step 4: Simplify right side
    13,601x = 150,444,088.45
  5. Step 5: Solve for x
    x = 150,444,088.45/13,601
  6. Step 6: Final answer
    x = 11,061.25

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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.