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Finding the Fourth Proportional to 17,697.46, 24,414.32 and 11,411.86

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Solution

The fourth proportional to 17,697.46, 24,414.32 and 11,411.86 is: 15,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.46 : 24,414.32 = 11,411.86 : x
  2. Step 2: Convert to fraction form
    17,697.46/24,414.32 = 11,411.86/x
  3. Step 3: Cross multiply
    17,697.46x = 24,414.32 × 11,411.86
  4. Step 4: Simplify right side
    17,697.46x = 278,612,801.84
  5. Step 5: Solve for x
    x = 278,612,801.84/17,697.46
  6. Step 6: Final answer
    x = 15,743.10

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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.