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Finding the Fourth Proportional to 16,097.02, 24,140.85 and 6,234.10

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Solution

The fourth proportional to 16,097.02, 24,140.85 and 6,234.10 is: 9,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.02 : 24,140.85 = 6,234.10 : x
  2. Step 2: Convert to fraction form
    16,097.02/24,140.85 = 6,234.10/x
  3. Step 3: Cross multiply
    16,097.02x = 24,140.85 × 6,234.10
  4. Step 4: Simplify right side
    16,097.02x = 150,496,472.99
  5. Step 5: Solve for x
    x = 150,496,472.99/16,097.02
  6. Step 6: Final answer
    x = 9,349.34

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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.