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Finding the Fourth Proportional to 13,418.57, 20,085.93 and 9,234.11

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Solution

The fourth proportional to 13,418.57, 20,085.93 and 9,234.11 is: 13,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.57 : 20,085.93 = 9,234.11 : x
  2. Step 2: Convert to fraction form
    13,418.57/20,085.93 = 9,234.11/x
  3. Step 3: Cross multiply
    13,418.57x = 20,085.93 × 9,234.11
  4. Step 4: Simplify right side
    13,418.57x = 185,475,586.64
  5. Step 5: Solve for x
    x = 185,475,586.64/13,418.57
  6. Step 6: Final answer
    x = 13,822.31

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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.