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Finding the Fourth Proportional to 12,573.38, 18,859.74 and 3,213.47

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Solution

The fourth proportional to 12,573.38, 18,859.74 and 3,213.47 is: 4,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.38 : 18,859.74 = 3,213.47 : x
  2. Step 2: Convert to fraction form
    12,573.38/18,859.74 = 3,213.47/x
  3. Step 3: Cross multiply
    12,573.38x = 18,859.74 × 3,213.47
  4. Step 4: Simplify right side
    12,573.38x = 60,605,114.40
  5. Step 5: Solve for x
    x = 60,605,114.40/12,573.38
  6. Step 6: Final answer
    x = 4,820.12

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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.