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Finding the Fourth Proportional to 13,418.37, 20,085.75 and 12,009.87

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Solution

The fourth proportional to 13,418.37, 20,085.75 and 12,009.87 is: 17,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.37 : 20,085.75 = 12,009.87 : x
  2. Step 2: Convert to fraction form
    13,418.37/20,085.75 = 12,009.87/x
  3. Step 3: Cross multiply
    13,418.37x = 20,085.75 × 12,009.87
  4. Step 4: Simplify right side
    13,418.37x = 241,227,246.35
  5. Step 5: Solve for x
    x = 241,227,246.35/13,418.37
  6. Step 6: Final answer
    x = 17,977.39

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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.