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Finding the Fourth Proportional to 14,296.28, 19,734.29 and 8,329.88

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Solution

The fourth proportional to 14,296.28, 19,734.29 and 8,329.88 is: 11,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.28 : 19,734.29 = 8,329.88 : x
  2. Step 2: Convert to fraction form
    14,296.28/19,734.29 = 8,329.88/x
  3. Step 3: Cross multiply
    14,296.28x = 19,734.29 × 8,329.88
  4. Step 4: Simplify right side
    14,296.28x = 164,384,127.26
  5. Step 5: Solve for x
    x = 164,384,127.26/14,296.28
  6. Step 6: Final answer
    x = 11,498.39

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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.