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Finding the Fourth Proportional to 13,444.75, 20,168.19 and 4,085.58

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Solution

The fourth proportional to 13,444.75, 20,168.19 and 4,085.58 is: 6,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.75 : 20,168.19 = 4,085.58 : x
  2. Step 2: Convert to fraction form
    13,444.75/20,168.19 = 4,085.58/x
  3. Step 3: Cross multiply
    13,444.75x = 20,168.19 × 4,085.58
  4. Step 4: Simplify right side
    13,444.75x = 82,398,829.33
  5. Step 5: Solve for x
    x = 82,398,829.33/13,444.75
  6. Step 6: Final answer
    x = 6,128.70

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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.