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Finding the Fourth Proportional to 17,728.62, 26,592.81 and 5,416.62

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Solution

The fourth proportional to 17,728.62, 26,592.81 and 5,416.62 is: 8,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.62 : 26,592.81 = 5,416.62 : x
  2. Step 2: Convert to fraction form
    17,728.62/26,592.81 = 5,416.62/x
  3. Step 3: Cross multiply
    17,728.62x = 26,592.81 × 5,416.62
  4. Step 4: Simplify right side
    17,728.62x = 144,043,146.50
  5. Step 5: Solve for x
    x = 144,043,146.50/17,728.62
  6. Step 6: Final answer
    x = 8,124.89

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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.