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Finding the Fourth Proportional to 23,411, 35,120 and 8,618.78

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Solution

The fourth proportional to 23,411, 35,120 and 8,618.78 is: 12,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411 : 35,120 = 8,618.78 : x
  2. Step 2: Convert to fraction form
    23,411/35,120 = 8,618.78/x
  3. Step 3: Cross multiply
    23,411x = 35,120 × 8,618.78
  4. Step 4: Simplify right side
    23,411x = 302,691,553.60
  5. Step 5: Solve for x
    x = 302,691,553.60/23,411
  6. Step 6: Final answer
    x = 12,929.46

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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.