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Finding the Fourth Proportional to 16,486.61, 22,743.99 and 9,768.42

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Solution

The fourth proportional to 16,486.61, 22,743.99 and 9,768.42 is: 13,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.61 : 22,743.99 = 9,768.42 : x
  2. Step 2: Convert to fraction form
    16,486.61/22,743.99 = 9,768.42/x
  3. Step 3: Cross multiply
    16,486.61x = 22,743.99 × 9,768.42
  4. Step 4: Simplify right side
    16,486.61x = 222,172,846.80
  5. Step 5: Solve for x
    x = 222,172,846.80/16,486.61
  6. Step 6: Final answer
    x = 13,475.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.