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Finding the Fourth Proportional to 16,006.20, 24,009.41 and 10,494.42

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Solution

The fourth proportional to 16,006.20, 24,009.41 and 10,494.42 is: 15,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.20 : 24,009.41 = 10,494.42 : x
  2. Step 2: Convert to fraction form
    16,006.20/24,009.41 = 10,494.42/x
  3. Step 3: Cross multiply
    16,006.20x = 24,009.41 × 10,494.42
  4. Step 4: Simplify right side
    16,006.20x = 251,964,832.49
  5. Step 5: Solve for x
    x = 251,964,832.49/16,006.20
  6. Step 6: Final answer
    x = 15,741.70

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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.