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Finding the Fourth Proportional to 17,749.84, 26,616.12 and 9,433.84

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Solution

The fourth proportional to 17,749.84, 26,616.12 and 9,433.84 is: 14,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.84 : 26,616.12 = 9,433.84 : x
  2. Step 2: Convert to fraction form
    17,749.84/26,616.12 = 9,433.84/x
  3. Step 3: Cross multiply
    17,749.84x = 26,616.12 × 9,433.84
  4. Step 4: Simplify right side
    17,749.84x = 251,092,217.50
  5. Step 5: Solve for x
    x = 251,092,217.50/17,749.84
  6. Step 6: Final answer
    x = 14,146.17

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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.