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Finding the Fourth Proportional to 17,706.35, 26,564.15 and 6,613.13

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Solution

The fourth proportional to 17,706.35, 26,564.15 and 6,613.13 is: 9,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.35 : 26,564.15 = 6,613.13 : x
  2. Step 2: Convert to fraction form
    17,706.35/26,564.15 = 6,613.13/x
  3. Step 3: Cross multiply
    17,706.35x = 26,564.15 × 6,613.13
  4. Step 4: Simplify right side
    17,706.35x = 175,672,011.40
  5. Step 5: Solve for x
    x = 175,672,011.40/17,706.35
  6. Step 6: Final answer
    x = 9,921.42

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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.