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Finding the Fourth Proportional to 31,646.25, 43,671.84 and 17,499

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Solution

The fourth proportional to 31,646.25, 43,671.84 and 17,499 is: 24,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.25 : 43,671.84 = 17,499 : x
  2. Step 2: Convert to fraction form
    31,646.25/43,671.84 = 17,499/x
  3. Step 3: Cross multiply
    31,646.25x = 43,671.84 × 17,499
  4. Step 4: Simplify right side
    31,646.25x = 764,213,528.16
  5. Step 5: Solve for x
    x = 764,213,528.16/31,646.25
  6. Step 6: Final answer
    x = 24,148.63

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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.