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Finding the Fourth Proportional to 17,770.11, 24,522.92 and 9,812.16

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Solution

The fourth proportional to 17,770.11, 24,522.92 and 9,812.16 is: 13,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.11 : 24,522.92 = 9,812.16 : x
  2. Step 2: Convert to fraction form
    17,770.11/24,522.92 = 9,812.16/x
  3. Step 3: Cross multiply
    17,770.11x = 24,522.92 × 9,812.16
  4. Step 4: Simplify right side
    17,770.11x = 240,622,814.71
  5. Step 5: Solve for x
    x = 240,622,814.71/17,770.11
  6. Step 6: Final answer
    x = 13,540.87

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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.