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Finding the Fourth Proportional to 17,268.57, 23,830.59 and 9,714.91

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Solution

The fourth proportional to 17,268.57, 23,830.59 and 9,714.91 is: 13,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.57 : 23,830.59 = 9,714.91 : x
  2. Step 2: Convert to fraction form
    17,268.57/23,830.59 = 9,714.91/x
  3. Step 3: Cross multiply
    17,268.57x = 23,830.59 × 9,714.91
  4. Step 4: Simplify right side
    17,268.57x = 231,512,001.81
  5. Step 5: Solve for x
    x = 231,512,001.81/17,268.57
  6. Step 6: Final answer
    x = 13,406.55

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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.