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Finding the Fourth Proportional to 16,519.94, 24,782.51 and 5,424.11

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Solution

The fourth proportional to 16,519.94, 24,782.51 and 5,424.11 is: 8,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.94 : 24,782.51 = 5,424.11 : x
  2. Step 2: Convert to fraction form
    16,519.94/24,782.51 = 5,424.11/x
  3. Step 3: Cross multiply
    16,519.94x = 24,782.51 × 5,424.11
  4. Step 4: Simplify right side
    16,519.94x = 134,422,909.28
  5. Step 5: Solve for x
    x = 134,422,909.28/16,519.94
  6. Step 6: Final answer
    x = 8,137.01

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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.