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Finding the Fourth Proportional to 17,029.86, 23,496.30 and 9,859.20

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Solution

The fourth proportional to 17,029.86, 23,496.30 and 9,859.20 is: 13,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029.86 : 23,496.30 = 9,859.20 : x
  2. Step 2: Convert to fraction form
    17,029.86/23,496.30 = 9,859.20/x
  3. Step 3: Cross multiply
    17,029.86x = 23,496.30 × 9,859.20
  4. Step 4: Simplify right side
    17,029.86x = 231,654,720.96
  5. Step 5: Solve for x
    x = 231,654,720.96/17,029.86
  6. Step 6: Final answer
    x = 13,602.86

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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.