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Finding the Fourth Proportional to 22,960.94, 31,686.08 and 12,889.40

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Solution

The fourth proportional to 22,960.94, 31,686.08 and 12,889.40 is: 17,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.94 : 31,686.08 = 12,889.40 : x
  2. Step 2: Convert to fraction form
    22,960.94/31,686.08 = 12,889.40/x
  3. Step 3: Cross multiply
    22,960.94x = 31,686.08 × 12,889.40
  4. Step 4: Simplify right side
    22,960.94x = 408,414,336.67
  5. Step 5: Solve for x
    x = 408,414,336.67/22,960.94
  6. Step 6: Final answer
    x = 17,787.36

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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.