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Finding the Fourth Proportional to 19,873.76, 29,814.24 and 8,180.60

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Solution

The fourth proportional to 19,873.76, 29,814.24 and 8,180.60 is: 12,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.76 : 29,814.24 = 8,180.60 : x
  2. Step 2: Convert to fraction form
    19,873.76/29,814.24 = 8,180.60/x
  3. Step 3: Cross multiply
    19,873.76x = 29,814.24 × 8,180.60
  4. Step 4: Simplify right side
    19,873.76x = 243,898,371.74
  5. Step 5: Solve for x
    x = 243,898,371.74/19,873.76
  6. Step 6: Final answer
    x = 12,272.38

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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.