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Finding the Fourth Proportional to 17,649.12, 26,465.91 and 8,291.80

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Solution

The fourth proportional to 17,649.12, 26,465.91 and 8,291.80 is: 12,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.12 : 26,465.91 = 8,291.80 : x
  2. Step 2: Convert to fraction form
    17,649.12/26,465.91 = 8,291.80/x
  3. Step 3: Cross multiply
    17,649.12x = 26,465.91 × 8,291.80
  4. Step 4: Simplify right side
    17,649.12x = 219,449,966.37
  5. Step 5: Solve for x
    x = 219,449,966.37/17,649.12
  6. Step 6: Final answer
    x = 12,434.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.