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Finding the Fourth Proportional to 12,151.74, 18,243.36 and 6,312.42

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Solution

The fourth proportional to 12,151.74, 18,243.36 and 6,312.42 is: 9,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.74 : 18,243.36 = 6,312.42 : x
  2. Step 2: Convert to fraction form
    12,151.74/18,243.36 = 6,312.42/x
  3. Step 3: Cross multiply
    12,151.74x = 18,243.36 × 6,312.42
  4. Step 4: Simplify right side
    12,151.74x = 115,159,750.53
  5. Step 5: Solve for x
    x = 115,159,750.53/12,151.74
  6. Step 6: Final answer
    x = 9,476.81

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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.