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Finding the Fourth Proportional to 19,382.94, 29,071.56 and 9,249.03

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Solution

The fourth proportional to 19,382.94, 29,071.56 and 9,249.03 is: 13,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.94 : 29,071.56 = 9,249.03 : x
  2. Step 2: Convert to fraction form
    19,382.94/29,071.56 = 9,249.03/x
  3. Step 3: Cross multiply
    19,382.94x = 29,071.56 × 9,249.03
  4. Step 4: Simplify right side
    19,382.94x = 268,883,730.59
  5. Step 5: Solve for x
    x = 268,883,730.59/19,382.94
  6. Step 6: Final answer
    x = 13,872.19

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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.