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Finding the Fourth Proportional to 16,388.66, 24,577.90 and 5,857.22

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Solution

The fourth proportional to 16,388.66, 24,577.90 and 5,857.22 is: 8,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.66 : 24,577.90 = 5,857.22 : x
  2. Step 2: Convert to fraction form
    16,388.66/24,577.90 = 5,857.22/x
  3. Step 3: Cross multiply
    16,388.66x = 24,577.90 × 5,857.22
  4. Step 4: Simplify right side
    16,388.66x = 143,958,214.24
  5. Step 5: Solve for x
    x = 143,958,214.24/16,388.66
  6. Step 6: Final answer
    x = 8,784.01

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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.