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Finding the Fourth Proportional to 22,847.70, 31,529.91 and 13,289.88

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Solution

The fourth proportional to 22,847.70, 31,529.91 and 13,289.88 is: 18,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.70 : 31,529.91 = 13,289.88 : x
  2. Step 2: Convert to fraction form
    22,847.70/31,529.91 = 13,289.88/x
  3. Step 3: Cross multiply
    22,847.70x = 31,529.91 × 13,289.88
  4. Step 4: Simplify right side
    22,847.70x = 419,028,720.31
  5. Step 5: Solve for x
    x = 419,028,720.31/22,847.70
  6. Step 6: Final answer
    x = 18,340.08

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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.