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Finding the Fourth Proportional to 12,231.12, 18,349.56 and 4,440

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Solution

The fourth proportional to 12,231.12, 18,349.56 and 4,440 is: 6,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.12 : 18,349.56 = 4,440 : x
  2. Step 2: Convert to fraction form
    12,231.12/18,349.56 = 4,440/x
  3. Step 3: Cross multiply
    12,231.12x = 18,349.56 × 4,440
  4. Step 4: Simplify right side
    12,231.12x = 81,472,046.40
  5. Step 5: Solve for x
    x = 81,472,046.40/12,231.12
  6. Step 6: Final answer
    x = 6,661.05

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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.