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Finding the Fourth Proportional to 14,195.40, 19,589.94 and 8,229

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Solution

The fourth proportional to 14,195.40, 19,589.94 and 8,229 is: 11,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.40 : 19,589.94 = 8,229 : x
  2. Step 2: Convert to fraction form
    14,195.40/19,589.94 = 8,229/x
  3. Step 3: Cross multiply
    14,195.40x = 19,589.94 × 8,229
  4. Step 4: Simplify right side
    14,195.40x = 161,205,616.26
  5. Step 5: Solve for x
    x = 161,205,616.26/14,195.40
  6. Step 6: Final answer
    x = 11,356.19

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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.