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Finding the Fourth Proportional to 23,086.37, 34,692.09 and 12,564.17

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Solution

The fourth proportional to 23,086.37, 34,692.09 and 12,564.17 is: 18,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.37 : 34,692.09 = 12,564.17 : x
  2. Step 2: Convert to fraction form
    23,086.37/34,692.09 = 12,564.17/x
  3. Step 3: Cross multiply
    23,086.37x = 34,692.09 × 12,564.17
  4. Step 4: Simplify right side
    23,086.37x = 435,877,253.59
  5. Step 5: Solve for x
    x = 435,877,253.59/23,086.37
  6. Step 6: Final answer
    x = 18,880.29

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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.