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Finding the Fourth Proportional to 23,466, 35,214.36 and 8,874

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Solution

The fourth proportional to 23,466, 35,214.36 and 8,874 is: 13,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466 : 35,214.36 = 8,874 : x
  2. Step 2: Convert to fraction form
    23,466/35,214.36 = 8,874/x
  3. Step 3: Cross multiply
    23,466x = 35,214.36 × 8,874
  4. Step 4: Simplify right side
    23,466x = 312,492,230.64
  5. Step 5: Solve for x
    x = 312,492,230.64/23,466
  6. Step 6: Final answer
    x = 13,316.81

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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.