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Finding the Fourth Proportional to 22,905.60, 31,608.16 and 12,696

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Solution

The fourth proportional to 22,905.60, 31,608.16 and 12,696 is: 17,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905.60 : 31,608.16 = 12,696 : x
  2. Step 2: Convert to fraction form
    22,905.60/31,608.16 = 12,696/x
  3. Step 3: Cross multiply
    22,905.60x = 31,608.16 × 12,696
  4. Step 4: Simplify right side
    22,905.60x = 401,297,199.36
  5. Step 5: Solve for x
    x = 401,297,199.36/22,905.60
  6. Step 6: Final answer
    x = 17,519.61

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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.