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Finding the Fourth Proportional to 20,463.94, 28,232.24 and 11,509.39

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Solution

The fourth proportional to 20,463.94, 28,232.24 and 11,509.39 is: 15,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.94 : 28,232.24 = 11,509.39 : x
  2. Step 2: Convert to fraction form
    20,463.94/28,232.24 = 11,509.39/x
  3. Step 3: Cross multiply
    20,463.94x = 28,232.24 × 11,509.39
  4. Step 4: Simplify right side
    20,463.94x = 324,935,860.73
  5. Step 5: Solve for x
    x = 324,935,860.73/20,463.94
  6. Step 6: Final answer
    x = 15,878.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.