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Finding the Fourth Proportional to 18,966, 26,173.04 and 10,468.65

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Solution

The fourth proportional to 18,966, 26,173.04 and 10,468.65 is: 14,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,966 : 26,173.04 = 10,468.65 : x
  2. Step 2: Convert to fraction form
    18,966/26,173.04 = 10,468.65/x
  3. Step 3: Cross multiply
    18,966x = 26,173.04 × 10,468.65
  4. Step 4: Simplify right side
    18,966x = 273,996,395.20
  5. Step 5: Solve for x
    x = 273,996,395.20/18,966
  6. Step 6: Final answer
    x = 14,446.71

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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.