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Finding the Fourth Proportional to 17,023.46, 25,489.71 and 9,997.70

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Solution

The fourth proportional to 17,023.46, 25,489.71 and 9,997.70 is: 14,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.46 : 25,489.71 = 9,997.70 : x
  2. Step 2: Convert to fraction form
    17,023.46/25,489.71 = 9,997.70/x
  3. Step 3: Cross multiply
    17,023.46x = 25,489.71 × 9,997.70
  4. Step 4: Simplify right side
    17,023.46x = 254,838,473.67
  5. Step 5: Solve for x
    x = 254,838,473.67/17,023.46
  6. Step 6: Final answer
    x = 14,969.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.