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Finding the Fourth Proportional to 23,480.16, 35,226 and 6,840.33

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Solution

The fourth proportional to 23,480.16, 35,226 and 6,840.33 is: 10,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.16 : 35,226 = 6,840.33 : x
  2. Step 2: Convert to fraction form
    23,480.16/35,226 = 6,840.33/x
  3. Step 3: Cross multiply
    23,480.16x = 35,226 × 6,840.33
  4. Step 4: Simplify right side
    23,480.16x = 240,957,464.58
  5. Step 5: Solve for x
    x = 240,957,464.58/23,480.16
  6. Step 6: Final answer
    x = 10,262.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.