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Finding the Fourth Proportional to 14,517.74, 20,035.42 and 8,144.80

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Solution

The fourth proportional to 14,517.74, 20,035.42 and 8,144.80 is: 11,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.74 : 20,035.42 = 8,144.80 : x
  2. Step 2: Convert to fraction form
    14,517.74/20,035.42 = 8,144.80/x
  3. Step 3: Cross multiply
    14,517.74x = 20,035.42 × 8,144.80
  4. Step 4: Simplify right side
    14,517.74x = 163,184,488.82
  5. Step 5: Solve for x
    x = 163,184,488.82/14,517.74
  6. Step 6: Final answer
    x = 11,240.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.