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Finding the Fourth Proportional to 31,132.84, 42,963.44 and 16,986

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Solution

The fourth proportional to 31,132.84, 42,963.44 and 16,986 is: 23,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.84 : 42,963.44 = 16,986 : x
  2. Step 2: Convert to fraction form
    31,132.84/42,963.44 = 16,986/x
  3. Step 3: Cross multiply
    31,132.84x = 42,963.44 × 16,986
  4. Step 4: Simplify right side
    31,132.84x = 729,776,991.84
  5. Step 5: Solve for x
    x = 729,776,991.84/31,132.84
  6. Step 6: Final answer
    x = 23,440.75

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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.