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Finding the Fourth Proportional to 23,173.16, 34,759.24 and 5,643.08

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Solution

The fourth proportional to 23,173.16, 34,759.24 and 5,643.08 is: 8,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.16 : 34,759.24 = 5,643.08 : x
  2. Step 2: Convert to fraction form
    23,173.16/34,759.24 = 5,643.08/x
  3. Step 3: Cross multiply
    23,173.16x = 34,759.24 × 5,643.08
  4. Step 4: Simplify right side
    23,173.16x = 196,149,172.06
  5. Step 5: Solve for x
    x = 196,149,172.06/23,173.16
  6. Step 6: Final answer
    x = 8,464.50

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Why These Related Problems?

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