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Finding the Fourth Proportional to 12,092.70, 18,145.66 and 4,697.46

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Solution

The fourth proportional to 12,092.70, 18,145.66 and 4,697.46 is: 7,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.70 : 18,145.66 = 4,697.46 : x
  2. Step 2: Convert to fraction form
    12,092.70/18,145.66 = 4,697.46/x
  3. Step 3: Cross multiply
    12,092.70x = 18,145.66 × 4,697.46
  4. Step 4: Simplify right side
    12,092.70x = 85,238,512.02
  5. Step 5: Solve for x
    x = 85,238,512.02/12,092.70
  6. Step 6: Final answer
    x = 7,048.76

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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.