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Finding the Fourth Proportional to 16,014.68, 24,021.50 and 7,249.60

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Solution

The fourth proportional to 16,014.68, 24,021.50 and 7,249.60 is: 10,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.68 : 24,021.50 = 7,249.60 : x
  2. Step 2: Convert to fraction form
    16,014.68/24,021.50 = 7,249.60/x
  3. Step 3: Cross multiply
    16,014.68x = 24,021.50 × 7,249.60
  4. Step 4: Simplify right side
    16,014.68x = 174,146,266.40
  5. Step 5: Solve for x
    x = 174,146,266.40/16,014.68
  6. Step 6: Final answer
    x = 10,874.16

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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.