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Finding the Fourth Proportional to 17,003.12, 23,457.56 and 9,831.71

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Solution

The fourth proportional to 17,003.12, 23,457.56 and 9,831.71 is: 13,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.12 : 23,457.56 = 9,831.71 : x
  2. Step 2: Convert to fraction form
    17,003.12/23,457.56 = 9,831.71/x
  3. Step 3: Cross multiply
    17,003.12x = 23,457.56 × 9,831.71
  4. Step 4: Simplify right side
    17,003.12x = 230,627,760.78
  5. Step 5: Solve for x
    x = 230,627,760.78/17,003.12
  6. Step 6: Final answer
    x = 13,563.85

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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.