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Finding the Fourth Proportional to 17,659.59, 26,489.40 and 6,569.07

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Solution

The fourth proportional to 17,659.59, 26,489.40 and 6,569.07 is: 9,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.59 : 26,489.40 = 6,569.07 : x
  2. Step 2: Convert to fraction form
    17,659.59/26,489.40 = 6,569.07/x
  3. Step 3: Cross multiply
    17,659.59x = 26,489.40 × 6,569.07
  4. Step 4: Simplify right side
    17,659.59x = 174,010,722.86
  5. Step 5: Solve for x
    x = 174,010,722.86/17,659.59
  6. Step 6: Final answer
    x = 9,853.61

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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.