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Finding the Fourth Proportional to 14,213.78, 19,615.17 and 7,926.26

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Solution

The fourth proportional to 14,213.78, 19,615.17 and 7,926.26 is: 10,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.78 : 19,615.17 = 7,926.26 : x
  2. Step 2: Convert to fraction form
    14,213.78/19,615.17 = 7,926.26/x
  3. Step 3: Cross multiply
    14,213.78x = 19,615.17 × 7,926.26
  4. Step 4: Simplify right side
    14,213.78x = 155,474,937.36
  5. Step 5: Solve for x
    x = 155,474,937.36/14,213.78
  6. Step 6: Final answer
    x = 10,938.32

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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.