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Finding the Fourth Proportional to 22,982.40, 31,719.84 and 13,550.40

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Solution

The fourth proportional to 22,982.40, 31,719.84 and 13,550.40 is: 18,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.40 : 31,719.84 = 13,550.40 : x
  2. Step 2: Convert to fraction form
    22,982.40/31,719.84 = 13,550.40/x
  3. Step 3: Cross multiply
    22,982.40x = 31,719.84 × 13,550.40
  4. Step 4: Simplify right side
    22,982.40x = 429,816,519.94
  5. Step 5: Solve for x
    x = 429,816,519.94/22,982.40
  6. Step 6: Final answer
    x = 18,701.99

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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.