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Finding the Fourth Proportional to 12,942.86, 17,860.73 and 7,277.45

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Solution

The fourth proportional to 12,942.86, 17,860.73 and 7,277.45 is: 10,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.86 : 17,860.73 = 7,277.45 : x
  2. Step 2: Convert to fraction form
    12,942.86/17,860.73 = 7,277.45/x
  3. Step 3: Cross multiply
    12,942.86x = 17,860.73 × 7,277.45
  4. Step 4: Simplify right side
    12,942.86x = 129,980,443.85
  5. Step 5: Solve for x
    x = 129,980,443.85/12,942.86
  6. Step 6: Final answer
    x = 10,042.64

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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.