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Finding the Fourth Proportional to 14,942.12, 22,416.38 and 7,449.74

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Solution

The fourth proportional to 14,942.12, 22,416.38 and 7,449.74 is: 11,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.12 : 22,416.38 = 7,449.74 : x
  2. Step 2: Convert to fraction form
    14,942.12/22,416.38 = 7,449.74/x
  3. Step 3: Cross multiply
    14,942.12x = 22,416.38 × 7,449.74
  4. Step 4: Simplify right side
    14,942.12x = 166,996,202.74
  5. Step 5: Solve for x
    x = 166,996,202.74/14,942.12
  6. Step 6: Final answer
    x = 11,176.21

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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.