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Finding the Fourth Proportional to 13,123.44, 19,674.09 and 5,722.47

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Solution

The fourth proportional to 13,123.44, 19,674.09 and 5,722.47 is: 8,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.44 : 19,674.09 = 5,722.47 : x
  2. Step 2: Convert to fraction form
    13,123.44/19,674.09 = 5,722.47/x
  3. Step 3: Cross multiply
    13,123.44x = 19,674.09 × 5,722.47
  4. Step 4: Simplify right side
    13,123.44x = 112,584,389.80
  5. Step 5: Solve for x
    x = 112,584,389.80/13,123.44
  6. Step 6: Final answer
    x = 8,578.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.