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Finding the Fourth Proportional to 23,460.31, 35,168.59 and 7,867

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Solution

The fourth proportional to 23,460.31, 35,168.59 and 7,867 is: 11,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460.31 : 35,168.59 = 7,867 : x
  2. Step 2: Convert to fraction form
    23,460.31/35,168.59 = 7,867/x
  3. Step 3: Cross multiply
    23,460.31x = 35,168.59 × 7,867
  4. Step 4: Simplify right side
    23,460.31x = 276,671,297.53
  5. Step 5: Solve for x
    x = 276,671,297.53/23,460.31
  6. Step 6: Final answer
    x = 11,793.16

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