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Finding the Fourth Proportional to 17,268.80, 23,830.20 and 9,715

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Solution

The fourth proportional to 17,268.80, 23,830.20 and 9,715 is: 13,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268.80 : 23,830.20 = 9,715 : x
  2. Step 2: Convert to fraction form
    17,268.80/23,830.20 = 9,715/x
  3. Step 3: Cross multiply
    17,268.80x = 23,830.20 × 9,715
  4. Step 4: Simplify right side
    17,268.80x = 231,510,393
  5. Step 5: Solve for x
    x = 231,510,393/17,268.80
  6. Step 6: Final answer
    x = 13,406.28

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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.