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Finding the Fourth Proportional to 14,299.97, 19,727.32 and 9,265.91

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Solution

The fourth proportional to 14,299.97, 19,727.32 and 9,265.91 is: 12,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.97 : 19,727.32 = 9,265.91 : x
  2. Step 2: Convert to fraction form
    14,299.97/19,727.32 = 9,265.91/x
  3. Step 3: Cross multiply
    14,299.97x = 19,727.32 × 9,265.91
  4. Step 4: Simplify right side
    14,299.97x = 182,791,571.66
  5. Step 5: Solve for x
    x = 182,791,571.66/14,299.97
  6. Step 6: Final answer
    x = 12,782.65

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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.