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Finding the Fourth Proportional to 12,346.49, 18,517.80 and 4,026.47

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Solution

The fourth proportional to 12,346.49, 18,517.80 and 4,026.47 is: 6,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.49 : 18,517.80 = 4,026.47 : x
  2. Step 2: Convert to fraction form
    12,346.49/18,517.80 = 4,026.47/x
  3. Step 3: Cross multiply
    12,346.49x = 18,517.80 × 4,026.47
  4. Step 4: Simplify right side
    12,346.49x = 74,561,288.68
  5. Step 5: Solve for x
    x = 74,561,288.68/12,346.49
  6. Step 6: Final answer
    x = 6,039.07

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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.