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Finding the Fourth Proportional to 22,696.24, 34,042.40 and 7,902.64

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Solution

The fourth proportional to 22,696.24, 34,042.40 and 7,902.64 is: 11,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.24 : 34,042.40 = 7,902.64 : x
  2. Step 2: Convert to fraction form
    22,696.24/34,042.40 = 7,902.64/x
  3. Step 3: Cross multiply
    22,696.24x = 34,042.40 × 7,902.64
  4. Step 4: Simplify right side
    22,696.24x = 269,024,831.94
  5. Step 5: Solve for x
    x = 269,024,831.94/22,696.24
  6. Step 6: Final answer
    x = 11,853.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.