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Finding the Fourth Proportional to 13,092.59, 19,639.31 and 5,196.57

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Solution

The fourth proportional to 13,092.59, 19,639.31 and 5,196.57 is: 7,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.59 : 19,639.31 = 5,196.57 : x
  2. Step 2: Convert to fraction form
    13,092.59/19,639.31 = 5,196.57/x
  3. Step 3: Cross multiply
    13,092.59x = 19,639.31 × 5,196.57
  4. Step 4: Simplify right side
    13,092.59x = 102,057,023.18
  5. Step 5: Solve for x
    x = 102,057,023.18/13,092.59
  6. Step 6: Final answer
    x = 7,795.02

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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.