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Finding the Fourth Proportional to 19,977.10, 29,965.66 and 6,829.58

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Solution

The fourth proportional to 19,977.10, 29,965.66 and 6,829.58 is: 10,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.10 : 29,965.66 = 6,829.58 : x
  2. Step 2: Convert to fraction form
    19,977.10/29,965.66 = 6,829.58/x
  3. Step 3: Cross multiply
    19,977.10x = 29,965.66 × 6,829.58
  4. Step 4: Simplify right side
    19,977.10x = 204,652,872.22
  5. Step 5: Solve for x
    x = 204,652,872.22/19,977.10
  6. Step 6: Final answer
    x = 10,244.37

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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.