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Finding the Fourth Proportional to 19,824.12, 29,734.56 and 5,973.12

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Solution

The fourth proportional to 19,824.12, 29,734.56 and 5,973.12 is: 8,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.12 : 29,734.56 = 5,973.12 : x
  2. Step 2: Convert to fraction form
    19,824.12/29,734.56 = 5,973.12/x
  3. Step 3: Cross multiply
    19,824.12x = 29,734.56 × 5,973.12
  4. Step 4: Simplify right side
    19,824.12x = 177,608,095.03
  5. Step 5: Solve for x
    x = 177,608,095.03/19,824.12
  6. Step 6: Final answer
    x = 8,959.19

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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.