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Finding the Fourth Proportional to 18,565.34, 27,847.98 and 8,697.40

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Solution

The fourth proportional to 18,565.34, 27,847.98 and 8,697.40 is: 13,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.34 : 27,847.98 = 8,697.40 : x
  2. Step 2: Convert to fraction form
    18,565.34/27,847.98 = 8,697.40/x
  3. Step 3: Cross multiply
    18,565.34x = 27,847.98 × 8,697.40
  4. Step 4: Simplify right side
    18,565.34x = 242,204,951.63
  5. Step 5: Solve for x
    x = 242,204,951.63/18,565.34
  6. Step 6: Final answer
    x = 13,046.09

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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.