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Finding the Fourth Proportional to 17,708.25, 26,526.76 and 8,207.26

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Solution

The fourth proportional to 17,708.25, 26,526.76 and 8,207.26 is: 12,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.25 : 26,526.76 = 8,207.26 : x
  2. Step 2: Convert to fraction form
    17,708.25/26,526.76 = 8,207.26/x
  3. Step 3: Cross multiply
    17,708.25x = 26,526.76 × 8,207.26
  4. Step 4: Simplify right side
    17,708.25x = 217,712,016.28
  5. Step 5: Solve for x
    x = 217,712,016.28/17,708.25
  6. Step 6: Final answer
    x = 12,294.38

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1.5x scale

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.