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Finding the Fourth Proportional to 12,092.77, 18,143.20 and 4,697.47

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Solution

The fourth proportional to 12,092.77, 18,143.20 and 4,697.47 is: 7,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.77 : 18,143.20 = 4,697.47 : x
  2. Step 2: Convert to fraction form
    12,092.77/18,143.20 = 4,697.47/x
  3. Step 3: Cross multiply
    12,092.77x = 18,143.20 × 4,697.47
  4. Step 4: Simplify right side
    12,092.77x = 85,227,114.22
  5. Step 5: Solve for x
    x = 85,227,114.22/12,092.77
  6. Step 6: Final answer
    x = 7,047.77

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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.