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Finding the Fourth Proportional to 15,588.68, 23,384.94 and 5,198.12

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Solution

The fourth proportional to 15,588.68, 23,384.94 and 5,198.12 is: 7,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.68 : 23,384.94 = 5,198.12 : x
  2. Step 2: Convert to fraction form
    15,588.68/23,384.94 = 5,198.12/x
  3. Step 3: Cross multiply
    15,588.68x = 23,384.94 × 5,198.12
  4. Step 4: Simplify right side
    15,588.68x = 121,557,724.31
  5. Step 5: Solve for x
    x = 121,557,724.31/15,588.68
  6. Step 6: Final answer
    x = 7,797.82

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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.