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Finding the Fourth Proportional to 31,524.35, 43,504.11 and 17,184.02

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Solution

The fourth proportional to 31,524.35, 43,504.11 and 17,184.02 is: 23,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.35 : 43,504.11 = 17,184.02 : x
  2. Step 2: Convert to fraction form
    31,524.35/43,504.11 = 17,184.02/x
  3. Step 3: Cross multiply
    31,524.35x = 43,504.11 × 17,184.02
  4. Step 4: Simplify right side
    31,524.35x = 747,575,278.80
  5. Step 5: Solve for x
    x = 747,575,278.80/31,524.35
  6. Step 6: Final answer
    x = 23,714.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.