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Finding the Fourth Proportional to 17,484.50, 26,249.61 and 10,381.70

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Solution

The fourth proportional to 17,484.50, 26,249.61 and 10,381.70 is: 15,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.50 : 26,249.61 = 10,381.70 : x
  2. Step 2: Convert to fraction form
    17,484.50/26,249.61 = 10,381.70/x
  3. Step 3: Cross multiply
    17,484.50x = 26,249.61 × 10,381.70
  4. Step 4: Simplify right side
    17,484.50x = 272,515,392.98
  5. Step 5: Solve for x
    x = 272,515,392.98/17,484.50
  6. Step 6: Final answer
    x = 15,586.12

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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.