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Finding the Fourth Proportional to 13,734.81, 18,954.42 and 7,767.38

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Solution

The fourth proportional to 13,734.81, 18,954.42 and 7,767.38 is: 10,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.81 : 18,954.42 = 7,767.38 : x
  2. Step 2: Convert to fraction form
    13,734.81/18,954.42 = 7,767.38/x
  3. Step 3: Cross multiply
    13,734.81x = 18,954.42 × 7,767.38
  4. Step 4: Simplify right side
    13,734.81x = 147,226,088.05
  5. Step 5: Solve for x
    x = 147,226,088.05/13,734.81
  6. Step 6: Final answer
    x = 10,719.19

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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.