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Finding the Fourth Proportional to 16,199.50, 24,244.38 and 9,963.47

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Solution

The fourth proportional to 16,199.50, 24,244.38 and 9,963.47 is: 14,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.50 : 24,244.38 = 9,963.47 : x
  2. Step 2: Convert to fraction form
    16,199.50/24,244.38 = 9,963.47/x
  3. Step 3: Cross multiply
    16,199.50x = 24,244.38 × 9,963.47
  4. Step 4: Simplify right side
    16,199.50x = 241,558,152.80
  5. Step 5: Solve for x
    x = 241,558,152.80/16,199.50
  6. Step 6: Final answer
    x = 14,911.46

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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.