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Finding the Fourth Proportional to 22,902.70, 31,606.64 and 12,831.23

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Solution

The fourth proportional to 22,902.70, 31,606.64 and 12,831.23 is: 17,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.70 : 31,606.64 = 12,831.23 : x
  2. Step 2: Convert to fraction form
    22,902.70/31,606.64 = 12,831.23/x
  3. Step 3: Cross multiply
    22,902.70x = 31,606.64 × 12,831.23
  4. Step 4: Simplify right side
    22,902.70x = 405,551,845.18
  5. Step 5: Solve for x
    x = 405,551,845.18/22,902.70
  6. Step 6: Final answer
    x = 17,707.60

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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.