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Finding the Fourth Proportional to 12,860.14, 19,270.36 and 8,683.78

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Solution

The fourth proportional to 12,860.14, 19,270.36 and 8,683.78 is: 13,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.14 : 19,270.36 = 8,683.78 : x
  2. Step 2: Convert to fraction form
    12,860.14/19,270.36 = 8,683.78/x
  3. Step 3: Cross multiply
    12,860.14x = 19,270.36 × 8,683.78
  4. Step 4: Simplify right side
    12,860.14x = 167,339,566.76
  5. Step 5: Solve for x
    x = 167,339,566.76/12,860.14
  6. Step 6: Final answer
    x = 13,012.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.