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Finding the Fourth Proportional to 17,792.16, 24,554.24 and 9,834.21

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Solution

The fourth proportional to 17,792.16, 24,554.24 and 9,834.21 is: 13,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,792.16 : 24,554.24 = 9,834.21 : x
  2. Step 2: Convert to fraction form
    17,792.16/24,554.24 = 9,834.21/x
  3. Step 3: Cross multiply
    17,792.16x = 24,554.24 × 9,834.21
  4. Step 4: Simplify right side
    17,792.16x = 241,471,540.26
  5. Step 5: Solve for x
    x = 241,471,540.26/17,792.16
  6. Step 6: Final answer
    x = 13,571.80

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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.