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Finding the Fourth Proportional to 31,132.68, 42,962.94 and 16,986.12

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Solution

The fourth proportional to 31,132.68, 42,962.94 and 16,986.12 is: 23,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.68 : 42,962.94 = 16,986.12 : x
  2. Step 2: Convert to fraction form
    31,132.68/42,962.94 = 16,986.12/x
  3. Step 3: Cross multiply
    31,132.68x = 42,962.94 × 16,986.12
  4. Step 4: Simplify right side
    31,132.68x = 729,773,654.39
  5. Step 5: Solve for x
    x = 729,773,654.39/31,132.68
  6. Step 6: Final answer
    x = 23,440.76

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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.