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Finding the Fourth Proportional to 17,983.81, 24,826.46 and 13,941.71

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Solution

The fourth proportional to 17,983.81, 24,826.46 and 13,941.71 is: 19,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,983.81 : 24,826.46 = 13,941.71 : x
  2. Step 2: Convert to fraction form
    17,983.81/24,826.46 = 13,941.71/x
  3. Step 3: Cross multiply
    17,983.81x = 24,826.46 × 13,941.71
  4. Step 4: Simplify right side
    17,983.81x = 346,123,305.65
  5. Step 5: Solve for x
    x = 346,123,305.65/17,983.81
  6. Step 6: Final answer
    x = 19,246.38

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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.