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Finding the Fourth Proportional to 13,054.15, 18,014.67 and 7,085.77

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Solution

The fourth proportional to 13,054.15, 18,014.67 and 7,085.77 is: 9,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.15 : 18,014.67 = 7,085.77 : x
  2. Step 2: Convert to fraction form
    13,054.15/18,014.67 = 7,085.77/x
  3. Step 3: Cross multiply
    13,054.15x = 18,014.67 × 7,085.77
  4. Step 4: Simplify right side
    13,054.15x = 127,647,808.25
  5. Step 5: Solve for x
    x = 127,647,808.25/13,054.15
  6. Step 6: Final answer
    x = 9,778.33

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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.