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Finding the Fourth Proportional to 16,449.71, 24,678.21 and 7,679.84

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Solution

The fourth proportional to 16,449.71, 24,678.21 and 7,679.84 is: 11,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.71 : 24,678.21 = 7,679.84 : x
  2. Step 2: Convert to fraction form
    16,449.71/24,678.21 = 7,679.84/x
  3. Step 3: Cross multiply
    16,449.71x = 24,678.21 × 7,679.84
  4. Step 4: Simplify right side
    16,449.71x = 189,524,580.90
  5. Step 5: Solve for x
    x = 189,524,580.90/16,449.71
  6. Step 6: Final answer
    x = 11,521.46

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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.