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Finding the Fourth Proportional to 16,214.28, 24,330.54 and 7,449.89

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Solution

The fourth proportional to 16,214.28, 24,330.54 and 7,449.89 is: 11,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.28 : 24,330.54 = 7,449.89 : x
  2. Step 2: Convert to fraction form
    16,214.28/24,330.54 = 7,449.89/x
  3. Step 3: Cross multiply
    16,214.28x = 24,330.54 × 7,449.89
  4. Step 4: Simplify right side
    16,214.28x = 181,259,724.99
  5. Step 5: Solve for x
    x = 181,259,724.99/16,214.28
  6. Step 6: Final answer
    x = 11,179.02

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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.