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Finding the Fourth Proportional to 16,289.28, 24,415.11 and 7,505.73

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Solution

The fourth proportional to 16,289.28, 24,415.11 and 7,505.73 is: 11,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.28 : 24,415.11 = 7,505.73 : x
  2. Step 2: Convert to fraction form
    16,289.28/24,415.11 = 7,505.73/x
  3. Step 3: Cross multiply
    16,289.28x = 24,415.11 × 7,505.73
  4. Step 4: Simplify right side
    16,289.28x = 183,253,223.58
  5. Step 5: Solve for x
    x = 183,253,223.58/16,289.28
  6. Step 6: Final answer
    x = 11,249.93

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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.