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Finding the Fourth Proportional to 15,794.10, 23,692.40 and 9,220.94

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Solution

The fourth proportional to 15,794.10, 23,692.40 and 9,220.94 is: 13,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.10 : 23,692.40 = 9,220.94 : x
  2. Step 2: Convert to fraction form
    15,794.10/23,692.40 = 9,220.94/x
  3. Step 3: Cross multiply
    15,794.10x = 23,692.40 × 9,220.94
  4. Step 4: Simplify right side
    15,794.10x = 218,466,198.86
  5. Step 5: Solve for x
    x = 218,466,198.86/15,794.10
  6. Step 6: Final answer
    x = 13,832.14

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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.