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Finding the Fourth Proportional to 17,840, 26,771.52 and 6,896

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Solution

The fourth proportional to 17,840, 26,771.52 and 6,896 is: 10,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840 : 26,771.52 = 6,896 : x
  2. Step 2: Convert to fraction form
    17,840/26,771.52 = 6,896/x
  3. Step 3: Cross multiply
    17,840x = 26,771.52 × 6,896
  4. Step 4: Simplify right side
    17,840x = 184,616,401.92
  5. Step 5: Solve for x
    x = 184,616,401.92/17,840
  6. Step 6: Final answer
    x = 10,348.45

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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.