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Finding the Fourth Proportional to 31,646.80, 43,671.72 and 17,499.16

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Solution

The fourth proportional to 31,646.80, 43,671.72 and 17,499.16 is: 24,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.80 : 43,671.72 = 17,499.16 : x
  2. Step 2: Convert to fraction form
    31,646.80/43,671.72 = 17,499.16/x
  3. Step 3: Cross multiply
    31,646.80x = 43,671.72 × 17,499.16
  4. Step 4: Simplify right side
    31,646.80x = 764,218,415.76
  5. Step 5: Solve for x
    x = 764,218,415.76/31,646.80
  6. Step 6: Final answer
    x = 24,148.36

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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.