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Finding the Fourth Proportional to 22,438.96, 33,658.98 and 10,739.32

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Solution

The fourth proportional to 22,438.96, 33,658.98 and 10,739.32 is: 16,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.96 : 33,658.98 = 10,739.32 : x
  2. Step 2: Convert to fraction form
    22,438.96/33,658.98 = 10,739.32/x
  3. Step 3: Cross multiply
    22,438.96x = 33,658.98 × 10,739.32
  4. Step 4: Simplify right side
    22,438.96x = 361,474,557.09
  5. Step 5: Solve for x
    x = 361,474,557.09/22,438.96
  6. Step 6: Final answer
    x = 16,109.24

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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.