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Finding the Fourth Proportional to 22,561.75, 31,138.50 and 12,999.76

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Solution

The fourth proportional to 22,561.75, 31,138.50 and 12,999.76 is: 17,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.75 : 31,138.50 = 12,999.76 : x
  2. Step 2: Convert to fraction form
    22,561.75/31,138.50 = 12,999.76/x
  3. Step 3: Cross multiply
    22,561.75x = 31,138.50 × 12,999.76
  4. Step 4: Simplify right side
    22,561.75x = 404,793,026.76
  5. Step 5: Solve for x
    x = 404,793,026.76/22,561.75
  6. Step 6: Final answer
    x = 17,941.56

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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.