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Finding the Fourth Proportional to 22,662.82, 31,273.04 and 12,590.74

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Solution

The fourth proportional to 22,662.82, 31,273.04 and 12,590.74 is: 17,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.82 : 31,273.04 = 12,590.74 : x
  2. Step 2: Convert to fraction form
    22,662.82/31,273.04 = 12,590.74/x
  3. Step 3: Cross multiply
    22,662.82x = 31,273.04 × 12,590.74
  4. Step 4: Simplify right side
    22,662.82x = 393,750,496.33
  5. Step 5: Solve for x
    x = 393,750,496.33/22,662.82
  6. Step 6: Final answer
    x = 17,374.30

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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.