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Finding the Fourth Proportional to 21,734.88, 32,590.08 and 6,940.32

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Solution

The fourth proportional to 21,734.88, 32,590.08 and 6,940.32 is: 10,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.88 : 32,590.08 = 6,940.32 : x
  2. Step 2: Convert to fraction form
    21,734.88/32,590.08 = 6,940.32/x
  3. Step 3: Cross multiply
    21,734.88x = 32,590.08 × 6,940.32
  4. Step 4: Simplify right side
    21,734.88x = 226,185,584.03
  5. Step 5: Solve for x
    x = 226,185,584.03/21,734.88
  6. Step 6: Final answer
    x = 10,406.57

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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.