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Finding the Fourth Proportional to 17,591.40, 26,380.70 and 8,823.40

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Solution

The fourth proportional to 17,591.40, 26,380.70 and 8,823.40 is: 13,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,591.40 : 26,380.70 = 8,823.40 : x
  2. Step 2: Convert to fraction form
    17,591.40/26,380.70 = 8,823.40/x
  3. Step 3: Cross multiply
    17,591.40x = 26,380.70 × 8,823.40
  4. Step 4: Simplify right side
    17,591.40x = 232,767,468.38
  5. Step 5: Solve for x
    x = 232,767,468.38/17,591.40
  6. Step 6: Final answer
    x = 13,231.89

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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.