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Finding the Fourth Proportional to 17,268.52, 23,830.32 and 9,714.28

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Solution

The fourth proportional to 17,268.52, 23,830.32 and 9,714.28 is: 13,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.52 : 23,830.32 = 9,714.28 : x
  2. Step 2: Convert to fraction form
    17,268.52/23,830.32 = 9,714.28/x
  3. Step 3: Cross multiply
    17,268.52x = 23,830.32 × 9,714.28
  4. Step 4: Simplify right side
    17,268.52x = 231,494,400.97
  5. Step 5: Solve for x
    x = 231,494,400.97/17,268.52
  6. Step 6: Final answer
    x = 13,405.57

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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.