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Finding the Fourth Proportional to 16,231.34, 24,347.73 and 7,918.22

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Solution

The fourth proportional to 16,231.34, 24,347.73 and 7,918.22 is: 11,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.34 : 24,347.73 = 7,918.22 : x
  2. Step 2: Convert to fraction form
    16,231.34/24,347.73 = 7,918.22/x
  3. Step 3: Cross multiply
    16,231.34x = 24,347.73 × 7,918.22
  4. Step 4: Simplify right side
    16,231.34x = 192,790,682.64
  5. Step 5: Solve for x
    x = 192,790,682.64/16,231.34
  6. Step 6: Final answer
    x = 11,877.68

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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.