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Finding the Fourth Proportional to 15,097.31, 20,833.89 and 8,382.76

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Solution

The fourth proportional to 15,097.31, 20,833.89 and 8,382.76 is: 11,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.31 : 20,833.89 = 8,382.76 : x
  2. Step 2: Convert to fraction form
    15,097.31/20,833.89 = 8,382.76/x
  3. Step 3: Cross multiply
    15,097.31x = 20,833.89 × 8,382.76
  4. Step 4: Simplify right side
    15,097.31x = 174,645,574.49
  5. Step 5: Solve for x
    x = 174,645,574.49/15,097.31
  6. Step 6: Final answer
    x = 11,567.99

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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.