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Finding the Fourth Proportional to 22,946.44, 31,665.48 and 12,874.04

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Solution

The fourth proportional to 22,946.44, 31,665.48 and 12,874.04 is: 17,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.44 : 31,665.48 = 12,874.04 : x
  2. Step 2: Convert to fraction form
    22,946.44/31,665.48 = 12,874.04/x
  3. Step 3: Cross multiply
    22,946.44x = 31,665.48 × 12,874.04
  4. Step 4: Simplify right side
    22,946.44x = 407,662,656.14
  5. Step 5: Solve for x
    x = 407,662,656.14/22,946.44
  6. Step 6: Final answer
    x = 17,765.83

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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.