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Finding the Fourth Proportional to 13,381.38, 18,464.81 and 7,411.55

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Solution

The fourth proportional to 13,381.38, 18,464.81 and 7,411.55 is: 10,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.38 : 18,464.81 = 7,411.55 : x
  2. Step 2: Convert to fraction form
    13,381.38/18,464.81 = 7,411.55/x
  3. Step 3: Cross multiply
    13,381.38x = 18,464.81 × 7,411.55
  4. Step 4: Simplify right side
    13,381.38x = 136,852,878.73
  5. Step 5: Solve for x
    x = 136,852,878.73/13,381.38
  6. Step 6: Final answer
    x = 10,227.11

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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.