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Finding the Fourth Proportional to 12,229.52, 18,302.70 and 9,468.50

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Solution

The fourth proportional to 12,229.52, 18,302.70 and 9,468.50 is: 14,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.52 : 18,302.70 = 9,468.50 : x
  2. Step 2: Convert to fraction form
    12,229.52/18,302.70 = 9,468.50/x
  3. Step 3: Cross multiply
    12,229.52x = 18,302.70 × 9,468.50
  4. Step 4: Simplify right side
    12,229.52x = 173,299,114.95
  5. Step 5: Solve for x
    x = 173,299,114.95/12,229.52
  6. Step 6: Final answer
    x = 14,170.56

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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.