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Finding the Fourth Proportional to 15,727.95, 23,593.23 and 6,843.58

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Solution

The fourth proportional to 15,727.95, 23,593.23 and 6,843.58 is: 10,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.95 : 23,593.23 = 6,843.58 : x
  2. Step 2: Convert to fraction form
    15,727.95/23,593.23 = 6,843.58/x
  3. Step 3: Cross multiply
    15,727.95x = 23,593.23 × 6,843.58
  4. Step 4: Simplify right side
    15,727.95x = 161,462,097.98
  5. Step 5: Solve for x
    x = 161,462,097.98/15,727.95
  6. Step 6: Final answer
    x = 10,265.93

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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.