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Finding the Fourth Proportional to 13,738.68, 18,959.54 and 7,451.19

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Solution

The fourth proportional to 13,738.68, 18,959.54 and 7,451.19 is: 10,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.68 : 18,959.54 = 7,451.19 : x
  2. Step 2: Convert to fraction form
    13,738.68/18,959.54 = 7,451.19/x
  3. Step 3: Cross multiply
    13,738.68x = 18,959.54 × 7,451.19
  4. Step 4: Simplify right side
    13,738.68x = 141,271,097.60
  5. Step 5: Solve for x
    x = 141,271,097.60/13,738.68
  6. Step 6: Final answer
    x = 10,282.73

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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.