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Finding the Fourth Proportional to 16,121.04, 24,189 and 7,358.64

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Solution

The fourth proportional to 16,121.04, 24,189 and 7,358.64 is: 11,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.04 : 24,189 = 7,358.64 : x
  2. Step 2: Convert to fraction form
    16,121.04/24,189 = 7,358.64/x
  3. Step 3: Cross multiply
    16,121.04x = 24,189 × 7,358.64
  4. Step 4: Simplify right side
    16,121.04x = 177,998,142.96
  5. Step 5: Solve for x
    x = 177,998,142.96/16,121.04
  6. Step 6: Final answer
    x = 11,041.36

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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.