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Finding the Fourth Proportional to 12,831.06, 17,716.89 and 9,842.16

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Solution

The fourth proportional to 12,831.06, 17,716.89 and 9,842.16 is: 13,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.06 : 17,716.89 = 9,842.16 : x
  2. Step 2: Convert to fraction form
    12,831.06/17,716.89 = 9,842.16/x
  3. Step 3: Cross multiply
    12,831.06x = 17,716.89 × 9,842.16
  4. Step 4: Simplify right side
    12,831.06x = 174,372,466.08
  5. Step 5: Solve for x
    x = 174,372,466.08/12,831.06
  6. Step 6: Final answer
    x = 13,589.87

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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.