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Finding the Fourth Proportional to 17,283.46, 23,851.22 and 9,729.81

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Solution

The fourth proportional to 17,283.46, 23,851.22 and 9,729.81 is: 13,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.46 : 23,851.22 = 9,729.81 : x
  2. Step 2: Convert to fraction form
    17,283.46/23,851.22 = 9,729.81/x
  3. Step 3: Cross multiply
    17,283.46x = 23,851.22 × 9,729.81
  4. Step 4: Simplify right side
    17,283.46x = 232,067,838.87
  5. Step 5: Solve for x
    x = 232,067,838.87/17,283.46
  6. Step 6: Final answer
    x = 13,427.16

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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.