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Finding the Fourth Proportional to 16,204.93, 24,304.29 and 6,841.87

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Solution

The fourth proportional to 16,204.93, 24,304.29 and 6,841.87 is: 10,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.93 : 24,304.29 = 6,841.87 : x
  2. Step 2: Convert to fraction form
    16,204.93/24,304.29 = 6,841.87/x
  3. Step 3: Cross multiply
    16,204.93x = 24,304.29 × 6,841.87
  4. Step 4: Simplify right side
    16,204.93x = 166,286,792.62
  5. Step 5: Solve for x
    x = 166,286,792.62/16,204.93
  6. Step 6: Final answer
    x = 10,261.49

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Why These Related Problems?

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