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Finding the Fourth Proportional to 13,084.92, 19,627.38 and 5,293.71

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Solution

The fourth proportional to 13,084.92, 19,627.38 and 5,293.71 is: 7,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.92 : 19,627.38 = 5,293.71 : x
  2. Step 2: Convert to fraction form
    13,084.92/19,627.38 = 5,293.71/x
  3. Step 3: Cross multiply
    13,084.92x = 19,627.38 × 5,293.71
  4. Step 4: Simplify right side
    13,084.92x = 103,901,657.78
  5. Step 5: Solve for x
    x = 103,901,657.78/13,084.92
  6. Step 6: Final answer
    x = 7,940.57

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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.