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Finding the Fourth Proportional to 13,307.97, 19,918.22 and 11,849.97

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Solution

The fourth proportional to 13,307.97, 19,918.22 and 11,849.97 is: 17,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.97 : 19,918.22 = 11,849.97 : x
  2. Step 2: Convert to fraction form
    13,307.97/19,918.22 = 11,849.97/x
  3. Step 3: Cross multiply
    13,307.97x = 19,918.22 × 11,849.97
  4. Step 4: Simplify right side
    13,307.97x = 236,030,250.20
  5. Step 5: Solve for x
    x = 236,030,250.20/13,307.97
  6. Step 6: Final answer
    x = 17,736.01

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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.