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Finding the Fourth Proportional to 13,409.31, 20,114.93 and 3,548.47

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Solution

The fourth proportional to 13,409.31, 20,114.93 and 3,548.47 is: 5,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.31 : 20,114.93 = 3,548.47 : x
  2. Step 2: Convert to fraction form
    13,409.31/20,114.93 = 3,548.47/x
  3. Step 3: Cross multiply
    13,409.31x = 20,114.93 × 3,548.47
  4. Step 4: Simplify right side
    13,409.31x = 71,377,207.91
  5. Step 5: Solve for x
    x = 71,377,207.91/13,409.31
  6. Step 6: Final answer
    x = 5,322.96

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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.