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Finding the Fourth Proportional to 16,216.20, 24,317.79 and 7,893.79

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Solution

The fourth proportional to 16,216.20, 24,317.79 and 7,893.79 is: 11,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.20 : 24,317.79 = 7,893.79 : x
  2. Step 2: Convert to fraction form
    16,216.20/24,317.79 = 7,893.79/x
  3. Step 3: Cross multiply
    16,216.20x = 24,317.79 × 7,893.79
  4. Step 4: Simplify right side
    16,216.20x = 191,959,527.52
  5. Step 5: Solve for x
    x = 191,959,527.52/16,216.20
  6. Step 6: Final answer
    x = 11,837.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.