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Finding the Fourth Proportional to 12,831.06, 17,706.53 and 7,242.02

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Solution

The fourth proportional to 12,831.06, 17,706.53 and 7,242.02 is: 9,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.06 : 17,706.53 = 7,242.02 : x
  2. Step 2: Convert to fraction form
    12,831.06/17,706.53 = 7,242.02/x
  3. Step 3: Cross multiply
    12,831.06x = 17,706.53 × 7,242.02
  4. Step 4: Simplify right side
    12,831.06x = 128,231,044.39
  5. Step 5: Solve for x
    x = 128,231,044.39/12,831.06
  6. Step 6: Final answer
    x = 9,993.80

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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.