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Finding the Fourth Proportional to 22,677.36, 31,296.90 and 13,727.10

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Solution

The fourth proportional to 22,677.36, 31,296.90 and 13,727.10 is: 18,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.36 : 31,296.90 = 13,727.10 : x
  2. Step 2: Convert to fraction form
    22,677.36/31,296.90 = 13,727.10/x
  3. Step 3: Cross multiply
    22,677.36x = 31,296.90 × 13,727.10
  4. Step 4: Simplify right side
    22,677.36x = 429,615,675.99
  5. Step 5: Solve for x
    x = 429,615,675.99/22,677.36
  6. Step 6: Final answer
    x = 18,944.70

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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.