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Finding the Fourth Proportional to 25,072.93, 34,601.07 and 13,742.20

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Solution

The fourth proportional to 25,072.93, 34,601.07 and 13,742.20 is: 18,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072.93 : 34,601.07 = 13,742.20 : x
  2. Step 2: Convert to fraction form
    25,072.93/34,601.07 = 13,742.20/x
  3. Step 3: Cross multiply
    25,072.93x = 34,601.07 × 13,742.20
  4. Step 4: Simplify right side
    25,072.93x = 475,494,824.15
  5. Step 5: Solve for x
    x = 475,494,824.15/25,072.93
  6. Step 6: Final answer
    x = 18,964.47

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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.