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Finding the Fourth Proportional to 12,683.70, 17,509.22 and 8,442.27

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Solution

The fourth proportional to 12,683.70, 17,509.22 and 8,442.27 is: 11,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.70 : 17,509.22 = 8,442.27 : x
  2. Step 2: Convert to fraction form
    12,683.70/17,509.22 = 8,442.27/x
  3. Step 3: Cross multiply
    12,683.70x = 17,509.22 × 8,442.27
  4. Step 4: Simplify right side
    12,683.70x = 147,817,562.73
  5. Step 5: Solve for x
    x = 147,817,562.73/12,683.70
  6. Step 6: Final answer
    x = 11,654.14

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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.