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Finding the Fourth Proportional to 13,105.27, 18,085.63 and 7,440.27

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Solution

The fourth proportional to 13,105.27, 18,085.63 and 7,440.27 is: 10,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.27 : 18,085.63 = 7,440.27 : x
  2. Step 2: Convert to fraction form
    13,105.27/18,085.63 = 7,440.27/x
  3. Step 3: Cross multiply
    13,105.27x = 18,085.63 × 7,440.27
  4. Step 4: Simplify right side
    13,105.27x = 134,561,970.32
  5. Step 5: Solve for x
    x = 134,561,970.32/13,105.27
  6. Step 6: Final answer
    x = 10,267.78

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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.