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Finding the Fourth Proportional to 13,085.34, 18,054.54 and 8,050.38

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Solution

The fourth proportional to 13,085.34, 18,054.54 and 8,050.38 is: 11,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.34 : 18,054.54 = 8,050.38 : x
  2. Step 2: Convert to fraction form
    13,085.34/18,054.54 = 8,050.38/x
  3. Step 3: Cross multiply
    13,085.34x = 18,054.54 × 8,050.38
  4. Step 4: Simplify right side
    13,085.34x = 145,345,907.73
  5. Step 5: Solve for x
    x = 145,345,907.73/13,085.34
  6. Step 6: Final answer
    x = 11,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.