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Finding the Fourth Proportional to 12,093.77, 18,144.70 and 4,698.47

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Solution

The fourth proportional to 12,093.77, 18,144.70 and 4,698.47 is: 7,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.77 : 18,144.70 = 4,698.47 : x
  2. Step 2: Convert to fraction form
    12,093.77/18,144.70 = 4,698.47/x
  3. Step 3: Cross multiply
    12,093.77x = 18,144.70 × 4,698.47
  4. Step 4: Simplify right side
    12,093.77x = 85,252,328.61
  5. Step 5: Solve for x
    x = 85,252,328.61/12,093.77
  6. Step 6: Final answer
    x = 7,049.28

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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.