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Finding the Fourth Proportional to 23,173.65, 34,760.19 and 5,643.63

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Solution

The fourth proportional to 23,173.65, 34,760.19 and 5,643.63 is: 8,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.65 : 34,760.19 = 5,643.63 : x
  2. Step 2: Convert to fraction form
    23,173.65/34,760.19 = 5,643.63/x
  3. Step 3: Cross multiply
    23,173.65x = 34,760.19 × 5,643.63
  4. Step 4: Simplify right side
    23,173.65x = 196,173,651.09
  5. Step 5: Solve for x
    x = 196,173,651.09/23,173.65
  6. Step 6: Final answer
    x = 8,465.38

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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.