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Finding the Fourth Proportional to 12,815.24, 17,683.78 and 7,436.84

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Solution

The fourth proportional to 12,815.24, 17,683.78 and 7,436.84 is: 10,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.24 : 17,683.78 = 7,436.84 : x
  2. Step 2: Convert to fraction form
    12,815.24/17,683.78 = 7,436.84/x
  3. Step 3: Cross multiply
    12,815.24x = 17,683.78 × 7,436.84
  4. Step 4: Simplify right side
    12,815.24x = 131,511,442.46
  5. Step 5: Solve for x
    x = 131,511,442.46/12,815.24
  6. Step 6: Final answer
    x = 10,262.11

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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.