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Finding the Fourth Proportional to 12,166.19, 16,789.34 and 6,577.19

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Solution

The fourth proportional to 12,166.19, 16,789.34 and 6,577.19 is: 9,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.19 : 16,789.34 = 6,577.19 : x
  2. Step 2: Convert to fraction form
    12,166.19/16,789.34 = 6,577.19/x
  3. Step 3: Cross multiply
    12,166.19x = 16,789.34 × 6,577.19
  4. Step 4: Simplify right side
    12,166.19x = 110,426,679.15
  5. Step 5: Solve for x
    x = 110,426,679.15/12,166.19
  6. Step 6: Final answer
    x = 9,076.52

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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.