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Finding the Fourth Proportional to 16,578.09, 24,832.44 and 10,000.80

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Solution

The fourth proportional to 16,578.09, 24,832.44 and 10,000.80 is: 14,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.09 : 24,832.44 = 10,000.80 : x
  2. Step 2: Convert to fraction form
    16,578.09/24,832.44 = 10,000.80/x
  3. Step 3: Cross multiply
    16,578.09x = 24,832.44 × 10,000.80
  4. Step 4: Simplify right side
    16,578.09x = 248,344,265.95
  5. Step 5: Solve for x
    x = 248,344,265.95/16,578.09
  6. Step 6: Final answer
    x = 14,980.27

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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.