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Finding the Fourth Proportional to 14,274.63, 19,694.21 and 8,305.02

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Solution

The fourth proportional to 14,274.63, 19,694.21 and 8,305.02 is: 11,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.63 : 19,694.21 = 8,305.02 : x
  2. Step 2: Convert to fraction form
    14,274.63/19,694.21 = 8,305.02/x
  3. Step 3: Cross multiply
    14,274.63x = 19,694.21 × 8,305.02
  4. Step 4: Simplify right side
    14,274.63x = 163,560,766.41
  5. Step 5: Solve for x
    x = 163,560,766.41/14,274.63
  6. Step 6: Final answer
    x = 11,458.14

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Why These Related Problems?

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