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Finding the Fourth Proportional to 23,025.55, 31,775.22 and 12,954

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Solution

The fourth proportional to 23,025.55, 31,775.22 and 12,954 is: 17,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025.55 : 31,775.22 = 12,954 : x
  2. Step 2: Convert to fraction form
    23,025.55/31,775.22 = 12,954/x
  3. Step 3: Cross multiply
    23,025.55x = 31,775.22 × 12,954
  4. Step 4: Simplify right side
    23,025.55x = 411,616,199.88
  5. Step 5: Solve for x
    x = 411,616,199.88/23,025.55
  6. Step 6: Final answer
    x = 17,876.50

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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.