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Finding the Fourth Proportional to 17,545.88, 24,209.46 and 11,170.17

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Solution

The fourth proportional to 17,545.88, 24,209.46 and 11,170.17 is: 15,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.88 : 24,209.46 = 11,170.17 : x
  2. Step 2: Convert to fraction form
    17,545.88/24,209.46 = 11,170.17/x
  3. Step 3: Cross multiply
    17,545.88x = 24,209.46 × 11,170.17
  4. Step 4: Simplify right side
    17,545.88x = 270,423,783.81
  5. Step 5: Solve for x
    x = 270,423,783.81/17,545.88
  6. Step 6: Final answer
    x = 15,412.39

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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.