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Finding the Fourth Proportional to 12,053.24, 18,085.18 and 4,156.96

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Solution

The fourth proportional to 12,053.24, 18,085.18 and 4,156.96 is: 6,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.24 : 18,085.18 = 4,156.96 : x
  2. Step 2: Convert to fraction form
    12,053.24/18,085.18 = 4,156.96/x
  3. Step 3: Cross multiply
    12,053.24x = 18,085.18 × 4,156.96
  4. Step 4: Simplify right side
    12,053.24x = 75,179,369.85
  5. Step 5: Solve for x
    x = 75,179,369.85/12,053.24
  6. Step 6: Final answer
    x = 6,237.27

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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.