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Finding the Fourth Proportional to 19,656.24, 29,489.04 and 5,805.24

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Solution

The fourth proportional to 19,656.24, 29,489.04 and 5,805.24 is: 8,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656.24 : 29,489.04 = 5,805.24 : x
  2. Step 2: Convert to fraction form
    19,656.24/29,489.04 = 5,805.24/x
  3. Step 3: Cross multiply
    19,656.24x = 29,489.04 × 5,805.24
  4. Step 4: Simplify right side
    19,656.24x = 171,190,954.57
  5. Step 5: Solve for x
    x = 171,190,954.57/19,656.24
  6. Step 6: Final answer
    x = 8,709.24

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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.