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Finding the Fourth Proportional to 16,114.62, 24,172.56 and 5,022.30

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Solution

The fourth proportional to 16,114.62, 24,172.56 and 5,022.30 is: 7,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.62 : 24,172.56 = 5,022.30 : x
  2. Step 2: Convert to fraction form
    16,114.62/24,172.56 = 5,022.30/x
  3. Step 3: Cross multiply
    16,114.62x = 24,172.56 × 5,022.30
  4. Step 4: Simplify right side
    16,114.62x = 121,401,848.09
  5. Step 5: Solve for x
    x = 121,401,848.09/16,114.62
  6. Step 6: Final answer
    x = 7,533.65

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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.