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Finding the Fourth Proportional to 13,637.70, 20,343.24 and 13,412.16

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Solution

The fourth proportional to 13,637.70, 20,343.24 and 13,412.16 is: 20,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.70 : 20,343.24 = 13,412.16 : x
  2. Step 2: Convert to fraction form
    13,637.70/20,343.24 = 13,412.16/x
  3. Step 3: Cross multiply
    13,637.70x = 20,343.24 × 13,412.16
  4. Step 4: Simplify right side
    13,637.70x = 272,846,789.80
  5. Step 5: Solve for x
    x = 272,846,789.80/13,637.70
  6. Step 6: Final answer
    x = 20,006.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.