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Finding the Fourth Proportional to 17,181.16, 23,706.50 and 9,727.72

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Solution

The fourth proportional to 17,181.16, 23,706.50 and 9,727.72 is: 13,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.16 : 23,706.50 = 9,727.72 : x
  2. Step 2: Convert to fraction form
    17,181.16/23,706.50 = 9,727.72/x
  3. Step 3: Cross multiply
    17,181.16x = 23,706.50 × 9,727.72
  4. Step 4: Simplify right side
    17,181.16x = 230,610,194.18
  5. Step 5: Solve for x
    x = 230,610,194.18/17,181.16
  6. Step 6: Final answer
    x = 13,422.27

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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.