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Finding the Fourth Proportional to 19,736.95, 29,611.74 and 7,078.17

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Solution

The fourth proportional to 19,736.95, 29,611.74 and 7,078.17 is: 10,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736.95 : 29,611.74 = 7,078.17 : x
  2. Step 2: Convert to fraction form
    19,736.95/29,611.74 = 7,078.17/x
  3. Step 3: Cross multiply
    19,736.95x = 29,611.74 × 7,078.17
  4. Step 4: Simplify right side
    19,736.95x = 209,596,986.05
  5. Step 5: Solve for x
    x = 209,596,986.05/19,736.95
  6. Step 6: Final answer
    x = 10,619.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.