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Finding the Fourth Proportional to 22,786.50, 31,446.58 and 13,358.10

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Solution

The fourth proportional to 22,786.50, 31,446.58 and 13,358.10 is: 18,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.50 : 31,446.58 = 13,358.10 : x
  2. Step 2: Convert to fraction form
    22,786.50/31,446.58 = 13,358.10/x
  3. Step 3: Cross multiply
    22,786.50x = 31,446.58 × 13,358.10
  4. Step 4: Simplify right side
    22,786.50x = 420,066,560.30
  5. Step 5: Solve for x
    x = 420,066,560.30/22,786.50
  6. Step 6: Final answer
    x = 18,434.89

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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.