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Finding the Fourth Proportional to 22,678.56, 31,294.02 and 13,722.78

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Solution

The fourth proportional to 22,678.56, 31,294.02 and 13,722.78 is: 18,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.56 : 31,294.02 = 13,722.78 : x
  2. Step 2: Convert to fraction form
    22,678.56/31,294.02 = 13,722.78/x
  3. Step 3: Cross multiply
    22,678.56x = 31,294.02 × 13,722.78
  4. Step 4: Simplify right side
    22,678.56x = 429,440,951.78
  5. Step 5: Solve for x
    x = 429,440,951.78/22,678.56
  6. Step 6: Final answer
    x = 18,935.99

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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.