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Finding the Fourth Proportional to 25,100.86, 34,640.46 and 13,770.84

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Solution

The fourth proportional to 25,100.86, 34,640.46 and 13,770.84 is: 19,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.86 : 34,640.46 = 13,770.84 : x
  2. Step 2: Convert to fraction form
    25,100.86/34,640.46 = 13,770.84/x
  3. Step 3: Cross multiply
    25,100.86x = 34,640.46 × 13,770.84
  4. Step 4: Simplify right side
    25,100.86x = 477,028,232.19
  5. Step 5: Solve for x
    x = 477,028,232.19/25,100.86
  6. Step 6: Final answer
    x = 19,004.46

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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.