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Finding the Fourth Proportional to 22,664, 31,276.32 and 12,728

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Solution

The fourth proportional to 22,664, 31,276.32 and 12,728 is: 17,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 31,276.32 = 12,728 : x
  2. Step 2: Convert to fraction form
    22,664/31,276.32 = 12,728/x
  3. Step 3: Cross multiply
    22,664x = 31,276.32 × 12,728
  4. Step 4: Simplify right side
    22,664x = 398,085,000.96
  5. Step 5: Solve for x
    x = 398,085,000.96/22,664
  6. Step 6: Final answer
    x = 17,564.64

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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.