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Finding the Fourth Proportional to 23,906.78, 35,870.26 and 12,810.50

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Solution

The fourth proportional to 23,906.78, 35,870.26 and 12,810.50 is: 19,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.78 : 35,870.26 = 12,810.50 : x
  2. Step 2: Convert to fraction form
    23,906.78/35,870.26 = 12,810.50/x
  3. Step 3: Cross multiply
    23,906.78x = 35,870.26 × 12,810.50
  4. Step 4: Simplify right side
    23,906.78x = 459,515,965.73
  5. Step 5: Solve for x
    x = 459,515,965.73/23,906.78
  6. Step 6: Final answer
    x = 19,221.16

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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.