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Finding the Fourth Proportional to 16,284.74, 24,428.90 and 5,188.84

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Solution

The fourth proportional to 16,284.74, 24,428.90 and 5,188.84 is: 7,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.74 : 24,428.90 = 5,188.84 : x
  2. Step 2: Convert to fraction form
    16,284.74/24,428.90 = 5,188.84/x
  3. Step 3: Cross multiply
    16,284.74x = 24,428.90 × 5,188.84
  4. Step 4: Simplify right side
    16,284.74x = 126,757,653.48
  5. Step 5: Solve for x
    x = 126,757,653.48/16,284.74
  6. Step 6: Final answer
    x = 7,783.83

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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.