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Finding the Fourth Proportional to 12,239.29, 18,361.29 and 5,219.18

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Solution

The fourth proportional to 12,239.29, 18,361.29 and 5,219.18 is: 7,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.29 : 18,361.29 = 5,219.18 : x
  2. Step 2: Convert to fraction form
    12,239.29/18,361.29 = 5,219.18/x
  3. Step 3: Cross multiply
    12,239.29x = 18,361.29 × 5,219.18
  4. Step 4: Simplify right side
    12,239.29x = 95,830,877.54
  5. Step 5: Solve for x
    x = 95,830,877.54/12,239.29
  6. Step 6: Final answer
    x = 7,829.77

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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.