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Finding the Fourth Proportional to 14,229.38, 19,636.86 and 7,855.95

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Solution

The fourth proportional to 14,229.38, 19,636.86 and 7,855.95 is: 10,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.38 : 19,636.86 = 7,855.95 : x
  2. Step 2: Convert to fraction form
    14,229.38/19,636.86 = 7,855.95/x
  3. Step 3: Cross multiply
    14,229.38x = 19,636.86 × 7,855.95
  4. Step 4: Simplify right side
    14,229.38x = 154,266,190.32
  5. Step 5: Solve for x
    x = 154,266,190.32/14,229.38
  6. Step 6: Final answer
    x = 10,841.39

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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.