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Finding the Fourth Proportional to 13,407.58, 20,090.82 and 7,168.46

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Solution

The fourth proportional to 13,407.58, 20,090.82 and 7,168.46 is: 10,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.58 : 20,090.82 = 7,168.46 : x
  2. Step 2: Convert to fraction form
    13,407.58/20,090.82 = 7,168.46/x
  3. Step 3: Cross multiply
    13,407.58x = 20,090.82 × 7,168.46
  4. Step 4: Simplify right side
    13,407.58x = 144,020,239.54
  5. Step 5: Solve for x
    x = 144,020,239.54/13,407.58
  6. Step 6: Final answer
    x = 10,741.71

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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.