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Finding the Fourth Proportional to 12,815.93, 17,674.94 and 8,338.05

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Solution

The fourth proportional to 12,815.93, 17,674.94 and 8,338.05 is: 11,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.93 : 17,674.94 = 8,338.05 : x
  2. Step 2: Convert to fraction form
    12,815.93/17,674.94 = 8,338.05/x
  3. Step 3: Cross multiply
    12,815.93x = 17,674.94 × 8,338.05
  4. Step 4: Simplify right side
    12,815.93x = 147,374,554.31
  5. Step 5: Solve for x
    x = 147,374,554.31/12,815.93
  6. Step 6: Final answer
    x = 11,499.32

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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.