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Finding the Fourth Proportional to 18,843.64, 28,248.16 and 6,523

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Solution

The fourth proportional to 18,843.64, 28,248.16 and 6,523 is: 9,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,843.64 : 28,248.16 = 6,523 : x
  2. Step 2: Convert to fraction form
    18,843.64/28,248.16 = 6,523/x
  3. Step 3: Cross multiply
    18,843.64x = 28,248.16 × 6,523
  4. Step 4: Simplify right side
    18,843.64x = 184,262,747.68
  5. Step 5: Solve for x
    x = 184,262,747.68/18,843.64
  6. Step 6: Final answer
    x = 9,778.51

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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.