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Finding the Fourth Proportional to 22,600.32, 31,189.50 and 14,107.47

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Solution

The fourth proportional to 22,600.32, 31,189.50 and 14,107.47 is: 19,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600.32 : 31,189.50 = 14,107.47 : x
  2. Step 2: Convert to fraction form
    22,600.32/31,189.50 = 14,107.47/x
  3. Step 3: Cross multiply
    22,600.32x = 31,189.50 × 14,107.47
  4. Step 4: Simplify right side
    22,600.32x = 440,004,935.57
  5. Step 5: Solve for x
    x = 440,004,935.57/22,600.32
  6. Step 6: Final answer
    x = 19,468.97

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