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Finding the Fourth Proportional to 15,382.71, 23,074.07 and 7,983.36

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Solution

The fourth proportional to 15,382.71, 23,074.07 and 7,983.36 is: 11,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.71 : 23,074.07 = 7,983.36 : x
  2. Step 2: Convert to fraction form
    15,382.71/23,074.07 = 7,983.36/x
  3. Step 3: Cross multiply
    15,382.71x = 23,074.07 × 7,983.36
  4. Step 4: Simplify right side
    15,382.71x = 184,208,567.56
  5. Step 5: Solve for x
    x = 184,208,567.56/15,382.71
  6. Step 6: Final answer
    x = 11,975.04

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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.