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Finding the Fourth Proportional to 16,097.14, 24,149.13 and 5,003.56

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Solution

The fourth proportional to 16,097.14, 24,149.13 and 5,003.56 is: 7,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.14 : 24,149.13 = 5,003.56 : x
  2. Step 2: Convert to fraction form
    16,097.14/24,149.13 = 5,003.56/x
  3. Step 3: Cross multiply
    16,097.14x = 24,149.13 × 5,003.56
  4. Step 4: Simplify right side
    16,097.14x = 120,831,620.90
  5. Step 5: Solve for x
    x = 120,831,620.90/16,097.14
  6. Step 6: Final answer
    x = 7,506.40

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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.