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Finding the Fourth Proportional to 17,689.81, 24,422.01 and 11,729.54

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Solution

The fourth proportional to 17,689.81, 24,422.01 and 11,729.54 is: 16,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.81 : 24,422.01 = 11,729.54 : x
  2. Step 2: Convert to fraction form
    17,689.81/24,422.01 = 11,729.54/x
  3. Step 3: Cross multiply
    17,689.81x = 24,422.01 × 11,729.54
  4. Step 4: Simplify right side
    17,689.81x = 286,458,943.18
  5. Step 5: Solve for x
    x = 286,458,943.18/17,689.81
  6. Step 6: Final answer
    x = 16,193.44

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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.