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Finding the Fourth Proportional to 16,591.96, 24,868.50 and 7,824.52

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Solution

The fourth proportional to 16,591.96, 24,868.50 and 7,824.52 is: 11,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.96 : 24,868.50 = 7,824.52 : x
  2. Step 2: Convert to fraction form
    16,591.96/24,868.50 = 7,824.52/x
  3. Step 3: Cross multiply
    16,591.96x = 24,868.50 × 7,824.52
  4. Step 4: Simplify right side
    16,591.96x = 194,584,075.62
  5. Step 5: Solve for x
    x = 194,584,075.62/16,591.96
  6. Step 6: Final answer
    x = 11,727.61

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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.