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Finding the Fourth Proportional to 14,479.96, 19,982.38 and 7,855.96

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Solution

The fourth proportional to 14,479.96, 19,982.38 and 7,855.96 is: 10,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,479.96 : 19,982.38 = 7,855.96 : x
  2. Step 2: Convert to fraction form
    14,479.96/19,982.38 = 7,855.96/x
  3. Step 3: Cross multiply
    14,479.96x = 19,982.38 × 7,855.96
  4. Step 4: Simplify right side
    14,479.96x = 156,980,777.98
  5. Step 5: Solve for x
    x = 156,980,777.98/14,479.96
  6. Step 6: Final answer
    x = 10,841.24

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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.