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Finding the Fourth Proportional to 16,340.68, 24,497.34 and 7,571.08

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Solution

The fourth proportional to 16,340.68, 24,497.34 and 7,571.08 is: 11,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.68 : 24,497.34 = 7,571.08 : x
  2. Step 2: Convert to fraction form
    16,340.68/24,497.34 = 7,571.08/x
  3. Step 3: Cross multiply
    16,340.68x = 24,497.34 × 7,571.08
  4. Step 4: Simplify right side
    16,340.68x = 185,471,320.93
  5. Step 5: Solve for x
    x = 185,471,320.93/16,340.68
  6. Step 6: Final answer
    x = 11,350.28

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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.