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Finding the Fourth Proportional to 19,382.68, 29,083.74 and 7,699.24

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Solution

The fourth proportional to 19,382.68, 29,083.74 and 7,699.24 is: 11,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.68 : 29,083.74 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    19,382.68/29,083.74 = 7,699.24/x
  3. Step 3: Cross multiply
    19,382.68x = 29,083.74 × 7,699.24
  4. Step 4: Simplify right side
    19,382.68x = 223,922,694.36
  5. Step 5: Solve for x
    x = 223,922,694.36/19,382.68
  6. Step 6: Final answer
    x = 11,552.72

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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.