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Finding the Fourth Proportional to 26,020, 35,923.08 and 17,083.16

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Solution

The fourth proportional to 26,020, 35,923.08 and 17,083.16 is: 23,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,020 : 35,923.08 = 17,083.16 : x
  2. Step 2: Convert to fraction form
    26,020/35,923.08 = 17,083.16/x
  3. Step 3: Cross multiply
    26,020x = 35,923.08 × 17,083.16
  4. Step 4: Simplify right side
    26,020x = 613,679,723.33
  5. Step 5: Solve for x
    x = 613,679,723.33/26,020
  6. Step 6: Final answer
    x = 23,584.92

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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.