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Finding the Fourth Proportional to 12,942.84, 17,860.97 and 7,278.55

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Solution

The fourth proportional to 12,942.84, 17,860.97 and 7,278.55 is: 10,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.84 : 17,860.97 = 7,278.55 : x
  2. Step 2: Convert to fraction form
    12,942.84/17,860.97 = 7,278.55/x
  3. Step 3: Cross multiply
    12,942.84x = 17,860.97 × 7,278.55
  4. Step 4: Simplify right side
    12,942.84x = 130,001,936.74
  5. Step 5: Solve for x
    x = 130,001,936.74/12,942.84
  6. Step 6: Final answer
    x = 10,044.31

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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.