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Finding the Fourth Proportional to 14,192.67, 19,585.87 and 8,227.80

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Solution

The fourth proportional to 14,192.67, 19,585.87 and 8,227.80 is: 11,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.67 : 19,585.87 = 8,227.80 : x
  2. Step 2: Convert to fraction form
    14,192.67/19,585.87 = 8,227.80/x
  3. Step 3: Cross multiply
    14,192.67x = 19,585.87 × 8,227.80
  4. Step 4: Simplify right side
    14,192.67x = 161,148,621.19
  5. Step 5: Solve for x
    x = 161,148,621.19/14,192.67
  6. Step 6: Final answer
    x = 11,354.36

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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.