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Finding the Fourth Proportional to 31,642.88, 43,666.96 and 17,496.32

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Solution

The fourth proportional to 31,642.88, 43,666.96 and 17,496.32 is: 24,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.88 : 43,666.96 = 17,496.32 : x
  2. Step 2: Convert to fraction form
    31,642.88/43,666.96 = 17,496.32/x
  3. Step 3: Cross multiply
    31,642.88x = 43,666.96 × 17,496.32
  4. Step 4: Simplify right side
    31,642.88x = 764,011,105.59
  5. Step 5: Solve for x
    x = 764,011,105.59/31,642.88
  6. Step 6: Final answer
    x = 24,144.80

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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.