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Finding the Fourth Proportional to 16,574.38, 24,857.96 and 5,478.44

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Solution

The fourth proportional to 16,574.38, 24,857.96 and 5,478.44 is: 8,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.38 : 24,857.96 = 5,478.44 : x
  2. Step 2: Convert to fraction form
    16,574.38/24,857.96 = 5,478.44/x
  3. Step 3: Cross multiply
    16,574.38x = 24,857.96 × 5,478.44
  4. Step 4: Simplify right side
    16,574.38x = 136,182,842.38
  5. Step 5: Solve for x
    x = 136,182,842.38/16,574.38
  6. Step 6: Final answer
    x = 8,216.47

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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.