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Finding the Fourth Proportional to 12,927.75, 17,838.36 and 7,261.42

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Solution

The fourth proportional to 12,927.75, 17,838.36 and 7,261.42 is: 10,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.75 : 17,838.36 = 7,261.42 : x
  2. Step 2: Convert to fraction form
    12,927.75/17,838.36 = 7,261.42/x
  3. Step 3: Cross multiply
    12,927.75x = 17,838.36 × 7,261.42
  4. Step 4: Simplify right side
    12,927.75x = 129,531,698.57
  5. Step 5: Solve for x
    x = 129,531,698.57/12,927.75
  6. Step 6: Final answer
    x = 10,019.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.