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Finding the Fourth Proportional to 12,341.92, 18,513.87 and 4,021.78

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Solution

The fourth proportional to 12,341.92, 18,513.87 and 4,021.78 is: 6,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.92 : 18,513.87 = 4,021.78 : x
  2. Step 2: Convert to fraction form
    12,341.92/18,513.87 = 4,021.78/x
  3. Step 3: Cross multiply
    12,341.92x = 18,513.87 × 4,021.78
  4. Step 4: Simplify right side
    12,341.92x = 74,458,712.09
  5. Step 5: Solve for x
    x = 74,458,712.09/12,341.92
  6. Step 6: Final answer
    x = 6,032.99

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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.