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Finding the Fourth Proportional to 19,681.77, 27,161.12 and 10,729.42

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Solution

The fourth proportional to 19,681.77, 27,161.12 and 10,729.42 is: 14,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.77 : 27,161.12 = 10,729.42 : x
  2. Step 2: Convert to fraction form
    19,681.77/27,161.12 = 10,729.42/x
  3. Step 3: Cross multiply
    19,681.77x = 27,161.12 × 10,729.42
  4. Step 4: Simplify right side
    19,681.77x = 291,422,942.60
  5. Step 5: Solve for x
    x = 291,422,942.60/19,681.77
  6. Step 6: Final answer
    x = 14,806.74

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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.