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Finding the Fourth Proportional to 16,023.76, 24,028.71 and 5,494.81

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Solution

The fourth proportional to 16,023.76, 24,028.71 and 5,494.81 is: 8,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.76 : 24,028.71 = 5,494.81 : x
  2. Step 2: Convert to fraction form
    16,023.76/24,028.71 = 5,494.81/x
  3. Step 3: Cross multiply
    16,023.76x = 24,028.71 × 5,494.81
  4. Step 4: Simplify right side
    16,023.76x = 132,033,196.00
  5. Step 5: Solve for x
    x = 132,033,196.00/16,023.76
  6. Step 6: Final answer
    x = 8,239.84

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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.