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Finding the Fourth Proportional to 19,783.24, 29,675.04 and 6,635.80

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Solution

The fourth proportional to 19,783.24, 29,675.04 and 6,635.80 is: 9,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.24 : 29,675.04 = 6,635.80 : x
  2. Step 2: Convert to fraction form
    19,783.24/29,675.04 = 6,635.80/x
  3. Step 3: Cross multiply
    19,783.24x = 29,675.04 × 6,635.80
  4. Step 4: Simplify right side
    19,783.24x = 196,917,630.43
  5. Step 5: Solve for x
    x = 196,917,630.43/19,783.24
  6. Step 6: Final answer
    x = 9,953.76

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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.