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Finding the Fourth Proportional to 14,142.50, 19,520.16 and 8,177.63

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Solution

The fourth proportional to 14,142.50, 19,520.16 and 8,177.63 is: 11,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.50 : 19,520.16 = 8,177.63 : x
  2. Step 2: Convert to fraction form
    14,142.50/19,520.16 = 8,177.63/x
  3. Step 3: Cross multiply
    14,142.50x = 19,520.16 × 8,177.63
  4. Step 4: Simplify right side
    14,142.50x = 159,628,517.75
  5. Step 5: Solve for x
    x = 159,628,517.75/14,142.50
  6. Step 6: Final answer
    x = 11,287.15

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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.