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Finding the Fourth Proportional to 17,424, 26,138.88 and 5,114.88

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Solution

The fourth proportional to 17,424, 26,138.88 and 5,114.88 is: 7,673.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 26,138.88 = 5,114.88 : x
  2. Step 2: Convert to fraction form
    17,424/26,138.88 = 5,114.88/x
  3. Step 3: Cross multiply
    17,424x = 26,138.88 × 5,114.88
  4. Step 4: Simplify right side
    17,424x = 133,697,234.53
  5. Step 5: Solve for x
    x = 133,697,234.53/17,424
  6. Step 6: Final answer
    x = 7,673.17

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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.