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Finding the Fourth Proportional to 17,265.64, 23,826 and 9,712.12

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Solution

The fourth proportional to 17,265.64, 23,826 and 9,712.12 is: 13,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.64 : 23,826 = 9,712.12 : x
  2. Step 2: Convert to fraction form
    17,265.64/23,826 = 9,712.12/x
  3. Step 3: Cross multiply
    17,265.64x = 23,826 × 9,712.12
  4. Step 4: Simplify right side
    17,265.64x = 231,400,971.12
  5. Step 5: Solve for x
    x = 231,400,971.12/17,265.64
  6. Step 6: Final answer
    x = 13,402.40

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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.