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Finding the Fourth Proportional to 14,636, 21,926.46 and 7,231.80

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Solution

The fourth proportional to 14,636, 21,926.46 and 7,231.80 is: 10,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636 : 21,926.46 = 7,231.80 : x
  2. Step 2: Convert to fraction form
    14,636/21,926.46 = 7,231.80/x
  3. Step 3: Cross multiply
    14,636x = 21,926.46 × 7,231.80
  4. Step 4: Simplify right side
    14,636x = 158,567,773.43
  5. Step 5: Solve for x
    x = 158,567,773.43/14,636
  6. Step 6: Final answer
    x = 10,834.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.