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Finding the Fourth Proportional to 13,722.51, 18,937.60 and 8,343.41

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Solution

The fourth proportional to 13,722.51, 18,937.60 and 8,343.41 is: 11,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.51 : 18,937.60 = 8,343.41 : x
  2. Step 2: Convert to fraction form
    13,722.51/18,937.60 = 8,343.41/x
  3. Step 3: Cross multiply
    13,722.51x = 18,937.60 × 8,343.41
  4. Step 4: Simplify right side
    13,722.51x = 158,004,045.67
  5. Step 5: Solve for x
    x = 158,004,045.67/13,722.51
  6. Step 6: Final answer
    x = 11,514.22

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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.