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Finding the Fourth Proportional to 13,204.95, 18,224.37 and 7,540.51

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Solution

The fourth proportional to 13,204.95, 18,224.37 and 7,540.51 is: 10,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.95 : 18,224.37 = 7,540.51 : x
  2. Step 2: Convert to fraction form
    13,204.95/18,224.37 = 7,540.51/x
  3. Step 3: Cross multiply
    13,204.95x = 18,224.37 × 7,540.51
  4. Step 4: Simplify right side
    13,204.95x = 137,421,006.53
  5. Step 5: Solve for x
    x = 137,421,006.53/13,204.95
  6. Step 6: Final answer
    x = 10,406.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.