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Finding the Fourth Proportional to 23,025.77, 31,775.22 and 12,954.20

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Solution

The fourth proportional to 23,025.77, 31,775.22 and 12,954.20 is: 17,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025.77 : 31,775.22 = 12,954.20 : x
  2. Step 2: Convert to fraction form
    23,025.77/31,775.22 = 12,954.20/x
  3. Step 3: Cross multiply
    23,025.77x = 31,775.22 × 12,954.20
  4. Step 4: Simplify right side
    23,025.77x = 411,622,396.05
  5. Step 5: Solve for x
    x = 411,622,396.05/23,025.77
  6. Step 6: Final answer
    x = 17,876.60

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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.