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Finding the Fourth Proportional to 13,054.22, 18,014.75 and 7,085.83

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Solution

The fourth proportional to 13,054.22, 18,014.75 and 7,085.83 is: 9,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.22 : 18,014.75 = 7,085.83 : x
  2. Step 2: Convert to fraction form
    13,054.22/18,014.75 = 7,085.83/x
  3. Step 3: Cross multiply
    13,054.22x = 18,014.75 × 7,085.83
  4. Step 4: Simplify right side
    13,054.22x = 127,649,455.99
  5. Step 5: Solve for x
    x = 127,649,455.99/13,054.22
  6. Step 6: Final answer
    x = 9,778.41

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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.