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Finding the Fourth Proportional to 14,213.82, 19,615.16 and 7,926.60

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Solution

The fourth proportional to 14,213.82, 19,615.16 and 7,926.60 is: 10,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.82 : 19,615.16 = 7,926.60 : x
  2. Step 2: Convert to fraction form
    14,213.82/19,615.16 = 7,926.60/x
  3. Step 3: Cross multiply
    14,213.82x = 19,615.16 × 7,926.60
  4. Step 4: Simplify right side
    14,213.82x = 155,481,527.26
  5. Step 5: Solve for x
    x = 155,481,527.26/14,213.82
  6. Step 6: Final answer
    x = 10,938.76

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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.