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Finding the Fourth Proportional to 14,274.71, 19,694.57 and 8,305.23

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Solution

The fourth proportional to 14,274.71, 19,694.57 and 8,305.23 is: 11,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.71 : 19,694.57 = 8,305.23 : x
  2. Step 2: Convert to fraction form
    14,274.71/19,694.57 = 8,305.23/x
  3. Step 3: Cross multiply
    14,274.71x = 19,694.57 × 8,305.23
  4. Step 4: Simplify right side
    14,274.71x = 163,567,933.01
  5. Step 5: Solve for x
    x = 163,567,933.01/14,274.71
  6. Step 6: Final answer
    x = 11,458.58

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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.