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Finding the Fourth Proportional to 23,642, 35,468.76 and 7,226

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Solution

The fourth proportional to 23,642, 35,468.76 and 7,226 is: 10,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642 : 35,468.76 = 7,226 : x
  2. Step 2: Convert to fraction form
    23,642/35,468.76 = 7,226/x
  3. Step 3: Cross multiply
    23,642x = 35,468.76 × 7,226
  4. Step 4: Simplify right side
    23,642x = 256,297,259.76
  5. Step 5: Solve for x
    x = 256,297,259.76/23,642
  6. Step 6: Final answer
    x = 10,840.76

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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.