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Finding the Fourth Proportional to 23,220.95, 34,848.36 and 8,431.09

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Solution

The fourth proportional to 23,220.95, 34,848.36 and 8,431.09 is: 12,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,220.95 : 34,848.36 = 8,431.09 : x
  2. Step 2: Convert to fraction form
    23,220.95/34,848.36 = 8,431.09/x
  3. Step 3: Cross multiply
    23,220.95x = 34,848.36 × 8,431.09
  4. Step 4: Simplify right side
    23,220.95x = 293,809,572.39
  5. Step 5: Solve for x
    x = 293,809,572.39/23,220.95
  6. Step 6: Final answer
    x = 12,652.78

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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.