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Finding the Fourth Proportional to 17,500, 24,160.92 and 11,223.32

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Solution

The fourth proportional to 17,500, 24,160.92 and 11,223.32 is: 15,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500 : 24,160.92 = 11,223.32 : x
  2. Step 2: Convert to fraction form
    17,500/24,160.92 = 11,223.32/x
  3. Step 3: Cross multiply
    17,500x = 24,160.92 × 11,223.32
  4. Step 4: Simplify right side
    17,500x = 271,165,736.65
  5. Step 5: Solve for x
    x = 271,165,736.65/17,500
  6. Step 6: Final answer
    x = 15,495.18

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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.