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Finding the Fourth Proportional to 17,121.16, 23,626.90 and 9,567

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Solution

The fourth proportional to 17,121.16, 23,626.90 and 9,567 is: 13,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.16 : 23,626.90 = 9,567 : x
  2. Step 2: Convert to fraction form
    17,121.16/23,626.90 = 9,567/x
  3. Step 3: Cross multiply
    17,121.16x = 23,626.90 × 9,567
  4. Step 4: Simplify right side
    17,121.16x = 226,038,552.30
  5. Step 5: Solve for x
    x = 226,038,552.30/17,121.16
  6. Step 6: Final answer
    x = 13,202.29

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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.