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Finding the Fourth Proportional to 12,338.67, 18,509.54 and 4,016.46

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Solution

The fourth proportional to 12,338.67, 18,509.54 and 4,016.46 is: 6,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.67 : 18,509.54 = 4,016.46 : x
  2. Step 2: Convert to fraction form
    12,338.67/18,509.54 = 4,016.46/x
  3. Step 3: Cross multiply
    12,338.67x = 18,509.54 × 4,016.46
  4. Step 4: Simplify right side
    12,338.67x = 74,342,827.03
  5. Step 5: Solve for x
    x = 74,342,827.03/12,338.67
  6. Step 6: Final answer
    x = 6,025.19

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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.