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Finding the Fourth Proportional to 16,178.16, 24,304 and 13,963.88

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Solution

The fourth proportional to 16,178.16, 24,304 and 13,963.88 is: 20,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.16 : 24,304 = 13,963.88 : x
  2. Step 2: Convert to fraction form
    16,178.16/24,304 = 13,963.88/x
  3. Step 3: Cross multiply
    16,178.16x = 24,304 × 13,963.88
  4. Step 4: Simplify right side
    16,178.16x = 339,378,139.52
  5. Step 5: Solve for x
    x = 339,378,139.52/16,178.16
  6. Step 6: Final answer
    x = 20,977.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.