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Finding the Fourth Proportional to 17,735.84, 24,472.08 and 11,108

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Solution

The fourth proportional to 17,735.84, 24,472.08 and 11,108 is: 15,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.84 : 24,472.08 = 11,108 : x
  2. Step 2: Convert to fraction form
    17,735.84/24,472.08 = 11,108/x
  3. Step 3: Cross multiply
    17,735.84x = 24,472.08 × 11,108
  4. Step 4: Simplify right side
    17,735.84x = 271,835,864.64
  5. Step 5: Solve for x
    x = 271,835,864.64/17,735.84
  6. Step 6: Final answer
    x = 15,326.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.