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Finding the Fourth Proportional to 17,704.92, 24,432.90 and 9,746.94

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Solution

The fourth proportional to 17,704.92, 24,432.90 and 9,746.94 is: 13,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.92 : 24,432.90 = 9,746.94 : x
  2. Step 2: Convert to fraction form
    17,704.92/24,432.90 = 9,746.94/x
  3. Step 3: Cross multiply
    17,704.92x = 24,432.90 × 9,746.94
  4. Step 4: Simplify right side
    17,704.92x = 238,146,010.33
  5. Step 5: Solve for x
    x = 238,146,010.33/17,704.92
  6. Step 6: Final answer
    x = 13,450.84

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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.