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Finding the Fourth Proportional to 14,146.61, 19,520.82 and 8,180.19

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Solution

The fourth proportional to 14,146.61, 19,520.82 and 8,180.19 is: 11,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.61 : 19,520.82 = 8,180.19 : x
  2. Step 2: Convert to fraction form
    14,146.61/19,520.82 = 8,180.19/x
  3. Step 3: Cross multiply
    14,146.61x = 19,520.82 × 8,180.19
  4. Step 4: Simplify right side
    14,146.61x = 159,684,016.56
  5. Step 5: Solve for x
    x = 159,684,016.56/14,146.61
  6. Step 6: Final answer
    x = 11,287.80

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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.