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Finding the Fourth Proportional to 13,738.61, 18,958.26 and 7,688.06

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Solution

The fourth proportional to 13,738.61, 18,958.26 and 7,688.06 is: 10,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.61 : 18,958.26 = 7,688.06 : x
  2. Step 2: Convert to fraction form
    13,738.61/18,958.26 = 7,688.06/x
  3. Step 3: Cross multiply
    13,738.61x = 18,958.26 × 7,688.06
  4. Step 4: Simplify right side
    13,738.61x = 145,752,145.58
  5. Step 5: Solve for x
    x = 145,752,145.58/13,738.61
  6. Step 6: Final answer
    x = 10,608.94

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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.