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Finding the Fourth Proportional to 20,605.96, 30,867.72 and 9,497.44

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Solution

The fourth proportional to 20,605.96, 30,867.72 and 9,497.44 is: 14,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.96 : 30,867.72 = 9,497.44 : x
  2. Step 2: Convert to fraction form
    20,605.96/30,867.72 = 9,497.44/x
  3. Step 3: Cross multiply
    20,605.96x = 30,867.72 × 9,497.44
  4. Step 4: Simplify right side
    20,605.96x = 293,164,318.64
  5. Step 5: Solve for x
    x = 293,164,318.64/20,605.96
  6. Step 6: Final answer
    x = 14,227.16

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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.