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Finding the Fourth Proportional to 13,722.23, 18,936.43 and 7,753.78

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Solution

The fourth proportional to 13,722.23, 18,936.43 and 7,753.78 is: 10,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.23 : 18,936.43 = 7,753.78 : x
  2. Step 2: Convert to fraction form
    13,722.23/18,936.43 = 7,753.78/x
  3. Step 3: Cross multiply
    13,722.23x = 18,936.43 × 7,753.78
  4. Step 4: Simplify right side
    13,722.23x = 146,828,853.59
  5. Step 5: Solve for x
    x = 146,828,853.59/13,722.23
  6. Step 6: Final answer
    x = 10,700.07

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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.