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Finding the Fourth Proportional to 16,005.20, 24,007.91 and 10,493.42

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Solution

The fourth proportional to 16,005.20, 24,007.91 and 10,493.42 is: 15,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.20 : 24,007.91 = 10,493.42 : x
  2. Step 2: Convert to fraction form
    16,005.20/24,007.91 = 10,493.42/x
  3. Step 3: Cross multiply
    16,005.20x = 24,007.91 × 10,493.42
  4. Step 4: Simplify right side
    16,005.20x = 251,924,910.45
  5. Step 5: Solve for x
    x = 251,924,910.45/16,005.20
  6. Step 6: Final answer
    x = 15,740.20

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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.