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Finding the Fourth Proportional to 13,409.32, 20,115 and 3,548.34

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Solution

The fourth proportional to 13,409.32, 20,115 and 3,548.34 is: 5,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.32 : 20,115 = 3,548.34 : x
  2. Step 2: Convert to fraction form
    13,409.32/20,115 = 3,548.34/x
  3. Step 3: Cross multiply
    13,409.32x = 20,115 × 3,548.34
  4. Step 4: Simplify right side
    13,409.32x = 71,374,859.10
  5. Step 5: Solve for x
    x = 71,374,859.10/13,409.32
  6. Step 6: Final answer
    x = 5,322.78

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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.