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Finding the Fourth Proportional to 17,767.38, 24,522.18 and 10,597.74

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Solution

The fourth proportional to 17,767.38, 24,522.18 and 10,597.74 is: 14,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.38 : 24,522.18 = 10,597.74 : x
  2. Step 2: Convert to fraction form
    17,767.38/24,522.18 = 10,597.74/x
  3. Step 3: Cross multiply
    17,767.38x = 24,522.18 × 10,597.74
  4. Step 4: Simplify right side
    17,767.38x = 259,879,687.87
  5. Step 5: Solve for x
    x = 259,879,687.87/17,767.38
  6. Step 6: Final answer
    x = 14,626.79

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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.