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Finding the Fourth Proportional to 14,450, 19,941.04 and 7,826

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Solution

The fourth proportional to 14,450, 19,941.04 and 7,826 is: 10,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450 : 19,941.04 = 7,826 : x
  2. Step 2: Convert to fraction form
    14,450/19,941.04 = 7,826/x
  3. Step 3: Cross multiply
    14,450x = 19,941.04 × 7,826
  4. Step 4: Simplify right side
    14,450x = 156,058,579.04
  5. Step 5: Solve for x
    x = 156,058,579.04/14,450
  6. Step 6: Final answer
    x = 10,799.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.