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Finding the Fourth Proportional to 19,509.73, 29,273.49 and 8,268.14

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Solution

The fourth proportional to 19,509.73, 29,273.49 and 8,268.14 is: 12,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.73 : 29,273.49 = 8,268.14 : x
  2. Step 2: Convert to fraction form
    19,509.73/29,273.49 = 8,268.14/x
  3. Step 3: Cross multiply
    19,509.73x = 29,273.49 × 8,268.14
  4. Step 4: Simplify right side
    19,509.73x = 242,037,386.79
  5. Step 5: Solve for x
    x = 242,037,386.79/19,509.73
  6. Step 6: Final answer
    x = 12,405.99

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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.