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Finding the Fourth Proportional to 13,397.72, 20,090.84 and 5,494.74

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Solution

The fourth proportional to 13,397.72, 20,090.84 and 5,494.74 is: 8,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.72 : 20,090.84 = 5,494.74 : x
  2. Step 2: Convert to fraction form
    13,397.72/20,090.84 = 5,494.74/x
  3. Step 3: Cross multiply
    13,397.72x = 20,090.84 × 5,494.74
  4. Step 4: Simplify right side
    13,397.72x = 110,393,914.71
  5. Step 5: Solve for x
    x = 110,393,914.71/13,397.72
  6. Step 6: Final answer
    x = 8,239.76

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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.