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Finding the Fourth Proportional to 17,649.14, 26,465.94 and 8,291.82

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Solution

The fourth proportional to 17,649.14, 26,465.94 and 8,291.82 is: 12,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.14 : 26,465.94 = 8,291.82 : x
  2. Step 2: Convert to fraction form
    17,649.14/26,465.94 = 8,291.82/x
  3. Step 3: Cross multiply
    17,649.14x = 26,465.94 × 8,291.82
  4. Step 4: Simplify right side
    17,649.14x = 219,450,713.35
  5. Step 5: Solve for x
    x = 219,450,713.35/17,649.14
  6. Step 6: Final answer
    x = 12,434.07

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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.