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Finding the Fourth Proportional to 17,706.63, 26,564.50 and 6,613.39

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Solution

The fourth proportional to 17,706.63, 26,564.50 and 6,613.39 is: 9,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.63 : 26,564.50 = 6,613.39 : x
  2. Step 2: Convert to fraction form
    17,706.63/26,564.50 = 6,613.39/x
  3. Step 3: Cross multiply
    17,706.63x = 26,564.50 × 6,613.39
  4. Step 4: Simplify right side
    17,706.63x = 175,681,398.66
  5. Step 5: Solve for x
    x = 175,681,398.66/17,706.63
  6. Step 6: Final answer
    x = 9,921.79

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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.