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Finding the Fourth Proportional to 22,811.60, 31,477.74 and 12,738.44

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Solution

The fourth proportional to 22,811.60, 31,477.74 and 12,738.44 is: 17,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.60 : 31,477.74 = 12,738.44 : x
  2. Step 2: Convert to fraction form
    22,811.60/31,477.74 = 12,738.44/x
  3. Step 3: Cross multiply
    22,811.60x = 31,477.74 × 12,738.44
  4. Step 4: Simplify right side
    22,811.60x = 400,977,302.33
  5. Step 5: Solve for x
    x = 400,977,302.33/22,811.60
  6. Step 6: Final answer
    x = 17,577.78

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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.