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Finding the Fourth Proportional to 19,642.86, 29,445.04 and 6,486.44

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Solution

The fourth proportional to 19,642.86, 29,445.04 and 6,486.44 is: 9,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.86 : 29,445.04 = 6,486.44 : x
  2. Step 2: Convert to fraction form
    19,642.86/29,445.04 = 6,486.44/x
  3. Step 3: Cross multiply
    19,642.86x = 29,445.04 × 6,486.44
  4. Step 4: Simplify right side
    19,642.86x = 190,993,485.26
  5. Step 5: Solve for x
    x = 190,993,485.26/19,642.86
  6. Step 6: Final answer
    x = 9,723.30

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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.