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Finding the Fourth Proportional to 19,932, 29,900.48 and 6,783.36

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Solution

The fourth proportional to 19,932, 29,900.48 and 6,783.36 is: 10,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932 : 29,900.48 = 6,783.36 : x
  2. Step 2: Convert to fraction form
    19,932/29,900.48 = 6,783.36/x
  3. Step 3: Cross multiply
    19,932x = 29,900.48 × 6,783.36
  4. Step 4: Simplify right side
    19,932x = 202,825,720.01
  5. Step 5: Solve for x
    x = 202,825,720.01/19,932
  6. Step 6: Final answer
    x = 10,175.88

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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.