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Finding the Fourth Proportional to 16,014.96, 24,023.79 and 5,484.60

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Solution

The fourth proportional to 16,014.96, 24,023.79 and 5,484.60 is: 8,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.96 : 24,023.79 = 5,484.60 : x
  2. Step 2: Convert to fraction form
    16,014.96/24,023.79 = 5,484.60/x
  3. Step 3: Cross multiply
    16,014.96x = 24,023.79 × 5,484.60
  4. Step 4: Simplify right side
    16,014.96x = 131,760,878.63
  5. Step 5: Solve for x
    x = 131,760,878.63/16,014.96
  6. Step 6: Final answer
    x = 8,227.36

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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.