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Finding the Fourth Proportional to 16,284.01, 24,427.79 and 5,188.09

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Solution

The fourth proportional to 16,284.01, 24,427.79 and 5,188.09 is: 7,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.01 : 24,427.79 = 5,188.09 : x
  2. Step 2: Convert to fraction form
    16,284.01/24,427.79 = 5,188.09/x
  3. Step 3: Cross multiply
    16,284.01x = 24,427.79 × 5,188.09
  4. Step 4: Simplify right side
    16,284.01x = 126,733,424.94
  5. Step 5: Solve for x
    x = 126,733,424.94/16,284.01
  6. Step 6: Final answer
    x = 7,782.69

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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.