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Finding the Fourth Proportional to 15,505.53, 23,221.32 and 8,475

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Solution

The fourth proportional to 15,505.53, 23,221.32 and 8,475 is: 12,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.53 : 23,221.32 = 8,475 : x
  2. Step 2: Convert to fraction form
    15,505.53/23,221.32 = 8,475/x
  3. Step 3: Cross multiply
    15,505.53x = 23,221.32 × 8,475
  4. Step 4: Simplify right side
    15,505.53x = 196,800,687
  5. Step 5: Solve for x
    x = 196,800,687/15,505.53
  6. Step 6: Final answer
    x = 12,692.29

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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.