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Finding the Fourth Proportional to 22,274.71, 30,727.44 and 13,774.12

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Solution

The fourth proportional to 22,274.71, 30,727.44 and 13,774.12 is: 19,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.71 : 30,727.44 = 13,774.12 : x
  2. Step 2: Convert to fraction form
    22,274.71/30,727.44 = 13,774.12/x
  3. Step 3: Cross multiply
    22,274.71x = 30,727.44 × 13,774.12
  4. Step 4: Simplify right side
    22,274.71x = 423,243,376.98
  5. Step 5: Solve for x
    x = 423,243,376.98/22,274.71
  6. Step 6: Final answer
    x = 19,001.07

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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.