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Finding the Fourth Proportional to 16,193.98, 24,304.81 and 6,340.17

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Solution

The fourth proportional to 16,193.98, 24,304.81 and 6,340.17 is: 9,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.98 : 24,304.81 = 6,340.17 : x
  2. Step 2: Convert to fraction form
    16,193.98/24,304.81 = 6,340.17/x
  3. Step 3: Cross multiply
    16,193.98x = 24,304.81 × 6,340.17
  4. Step 4: Simplify right side
    16,193.98x = 154,096,714.40
  5. Step 5: Solve for x
    x = 154,096,714.40/16,193.98
  6. Step 6: Final answer
    x = 9,515.68

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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.