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Finding the Fourth Proportional to 16,198.50, 24,242.89 and 9,962.47

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Solution

The fourth proportional to 16,198.50, 24,242.89 and 9,962.47 is: 14,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.50 : 24,242.89 = 9,962.47 : x
  2. Step 2: Convert to fraction form
    16,198.50/24,242.89 = 9,962.47/x
  3. Step 3: Cross multiply
    16,198.50x = 24,242.89 × 9,962.47
  4. Step 4: Simplify right side
    16,198.50x = 241,518,893.31
  5. Step 5: Solve for x
    x = 241,518,893.31/16,198.50
  6. Step 6: Final answer
    x = 14,909.95

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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.