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Finding the Fourth Proportional to 12,098.16, 18,145.48 and 3,776.24

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Solution

The fourth proportional to 12,098.16, 18,145.48 and 3,776.24 is: 5,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.16 : 18,145.48 = 3,776.24 : x
  2. Step 2: Convert to fraction form
    12,098.16/18,145.48 = 3,776.24/x
  3. Step 3: Cross multiply
    12,098.16x = 18,145.48 × 3,776.24
  4. Step 4: Simplify right side
    12,098.16x = 68,521,687.40
  5. Step 5: Solve for x
    x = 68,521,687.40/12,098.16
  6. Step 6: Final answer
    x = 5,663.81

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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.