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Finding the Fourth Proportional to 12,831.75, 17,707.82 and 7,242.75

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Solution

The fourth proportional to 12,831.75, 17,707.82 and 7,242.75 is: 9,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.75 : 17,707.82 = 7,242.75 : x
  2. Step 2: Convert to fraction form
    12,831.75/17,707.82 = 7,242.75/x
  3. Step 3: Cross multiply
    12,831.75x = 17,707.82 × 7,242.75
  4. Step 4: Simplify right side
    12,831.75x = 128,253,277.09
  5. Step 5: Solve for x
    x = 128,253,277.09/12,831.75
  6. Step 6: Final answer
    x = 9,995.00

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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.