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Finding the Fourth Proportional to 23,902.78, 35,864.25 and 12,806.50

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Solution

The fourth proportional to 23,902.78, 35,864.25 and 12,806.50 is: 19,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.78 : 35,864.25 = 12,806.50 : x
  2. Step 2: Convert to fraction form
    23,902.78/35,864.25 = 12,806.50/x
  3. Step 3: Cross multiply
    23,902.78x = 35,864.25 × 12,806.50
  4. Step 4: Simplify right side
    23,902.78x = 459,295,517.63
  5. Step 5: Solve for x
    x = 459,295,517.63/23,902.78
  6. Step 6: Final answer
    x = 19,215.15

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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.