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Finding the Fourth Proportional to 22,838.94, 31,517.46 and 12,629.95

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Solution

The fourth proportional to 22,838.94, 31,517.46 and 12,629.95 is: 17,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.94 : 31,517.46 = 12,629.95 : x
  2. Step 2: Convert to fraction form
    22,838.94/31,517.46 = 12,629.95/x
  3. Step 3: Cross multiply
    22,838.94x = 31,517.46 × 12,629.95
  4. Step 4: Simplify right side
    22,838.94x = 398,063,865.13
  5. Step 5: Solve for x
    x = 398,063,865.13/22,838.94
  6. Step 6: Final answer
    x = 17,429.17

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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.