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Finding the Fourth Proportional to 13,980.25, 19,292.75 and 7,693.03

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Solution

The fourth proportional to 13,980.25, 19,292.75 and 7,693.03 is: 10,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.25 : 19,292.75 = 7,693.03 : x
  2. Step 2: Convert to fraction form
    13,980.25/19,292.75 = 7,693.03/x
  3. Step 3: Cross multiply
    13,980.25x = 19,292.75 × 7,693.03
  4. Step 4: Simplify right side
    13,980.25x = 148,419,704.53
  5. Step 5: Solve for x
    x = 148,419,704.53/13,980.25
  6. Step 6: Final answer
    x = 10,616.38

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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.