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Finding the Fourth Proportional to 16,178.64, 24,273.80 and 5,650.20

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Solution

The fourth proportional to 16,178.64, 24,273.80 and 5,650.20 is: 8,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.64 : 24,273.80 = 5,650.20 : x
  2. Step 2: Convert to fraction form
    16,178.64/24,273.80 = 5,650.20/x
  3. Step 3: Cross multiply
    16,178.64x = 24,273.80 × 5,650.20
  4. Step 4: Simplify right side
    16,178.64x = 137,151,796.51
  5. Step 5: Solve for x
    x = 137,151,796.51/16,178.64
  6. Step 6: Final answer
    x = 8,477.34

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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.