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Finding the Fourth Proportional to 16,451.68, 24,678.06 and 5,922.49

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Solution

The fourth proportional to 16,451.68, 24,678.06 and 5,922.49 is: 8,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,451.68 : 24,678.06 = 5,922.49 : x
  2. Step 2: Convert to fraction form
    16,451.68/24,678.06 = 5,922.49/x
  3. Step 3: Cross multiply
    16,451.68x = 24,678.06 × 5,922.49
  4. Step 4: Simplify right side
    16,451.68x = 146,155,563.57
  5. Step 5: Solve for x
    x = 146,155,563.57/16,451.68
  6. Step 6: Final answer
    x = 8,883.93

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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.