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Finding the Fourth Proportional to 13,186.80, 19,762.79 and 6,166.26

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Solution

The fourth proportional to 13,186.80, 19,762.79 and 6,166.26 is: 9,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.80 : 19,762.79 = 6,166.26 : x
  2. Step 2: Convert to fraction form
    13,186.80/19,762.79 = 6,166.26/x
  3. Step 3: Cross multiply
    13,186.80x = 19,762.79 × 6,166.26
  4. Step 4: Simplify right side
    13,186.80x = 121,862,470.63
  5. Step 5: Solve for x
    x = 121,862,470.63/13,186.80
  6. Step 6: Final answer
    x = 9,241.25

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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.