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Finding the Fourth Proportional to 14,338.74, 19,797 and 8,969.30

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Solution

The fourth proportional to 14,338.74, 19,797 and 8,969.30 is: 12,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.74 : 19,797 = 8,969.30 : x
  2. Step 2: Convert to fraction form
    14,338.74/19,797 = 8,969.30/x
  3. Step 3: Cross multiply
    14,338.74x = 19,797 × 8,969.30
  4. Step 4: Simplify right side
    14,338.74x = 177,565,133.12
  5. Step 5: Solve for x
    x = 177,565,133.12/14,338.74
  6. Step 6: Final answer
    x = 12,383.59

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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.