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Finding the Fourth Proportional to 19,682.16, 27,161.01 and 10,729.50

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Solution

The fourth proportional to 19,682.16, 27,161.01 and 10,729.50 is: 14,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.16 : 27,161.01 = 10,729.50 : x
  2. Step 2: Convert to fraction form
    19,682.16/27,161.01 = 10,729.50/x
  3. Step 3: Cross multiply
    19,682.16x = 27,161.01 × 10,729.50
  4. Step 4: Simplify right side
    19,682.16x = 291,424,056.80
  5. Step 5: Solve for x
    x = 291,424,056.80/19,682.16
  6. Step 6: Final answer
    x = 14,806.51

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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.