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Finding the Fourth Proportional to 19,824.07, 29,736.10 and 5,973.07

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Solution

The fourth proportional to 19,824.07, 29,736.10 and 5,973.07 is: 8,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.07 : 29,736.10 = 5,973.07 : x
  2. Step 2: Convert to fraction form
    19,824.07/29,736.10 = 5,973.07/x
  3. Step 3: Cross multiply
    19,824.07x = 29,736.10 × 5,973.07
  4. Step 4: Simplify right side
    19,824.07x = 177,615,628.28
  5. Step 5: Solve for x
    x = 177,615,628.28/19,824.07
  6. Step 6: Final answer
    x = 8,959.60

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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.