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Finding the Fourth Proportional to 18,920.93, 28,366.81 and 6,433.16

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Solution

The fourth proportional to 18,920.93, 28,366.81 and 6,433.16 is: 9,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920.93 : 28,366.81 = 6,433.16 : x
  2. Step 2: Convert to fraction form
    18,920.93/28,366.81 = 6,433.16/x
  3. Step 3: Cross multiply
    18,920.93x = 28,366.81 × 6,433.16
  4. Step 4: Simplify right side
    18,920.93x = 182,488,069.50
  5. Step 5: Solve for x
    x = 182,488,069.50/18,920.93
  6. Step 6: Final answer
    x = 9,644.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.