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Finding the Fourth Proportional to 16,376.80, 24,544.66 and 7,005.82

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Solution

The fourth proportional to 16,376.80, 24,544.66 and 7,005.82 is: 10,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.80 : 24,544.66 = 7,005.82 : x
  2. Step 2: Convert to fraction form
    16,376.80/24,544.66 = 7,005.82/x
  3. Step 3: Cross multiply
    16,376.80x = 24,544.66 × 7,005.82
  4. Step 4: Simplify right side
    16,376.80x = 171,955,469.92
  5. Step 5: Solve for x
    x = 171,955,469.92/16,376.80
  6. Step 6: Final answer
    x = 10,499.94

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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.