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Finding the Fourth Proportional to 17,289.32, 23,859.14 and 9,735.66

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Solution

The fourth proportional to 17,289.32, 23,859.14 and 9,735.66 is: 13,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.32 : 23,859.14 = 9,735.66 : x
  2. Step 2: Convert to fraction form
    17,289.32/23,859.14 = 9,735.66/x
  3. Step 3: Cross multiply
    17,289.32x = 23,859.14 × 9,735.66
  4. Step 4: Simplify right side
    17,289.32x = 232,284,474.93
  5. Step 5: Solve for x
    x = 232,284,474.93/17,289.32
  6. Step 6: Final answer
    x = 13,435.14

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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.