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Finding the Fourth Proportional to 12,005, 16,566.84 and 6,699.50

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Solution

The fourth proportional to 12,005, 16,566.84 and 6,699.50 is: 9,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 16,566.84 = 6,699.50 : x
  2. Step 2: Convert to fraction form
    12,005/16,566.84 = 6,699.50/x
  3. Step 3: Cross multiply
    12,005x = 16,566.84 × 6,699.50
  4. Step 4: Simplify right side
    12,005x = 110,989,544.58
  5. Step 5: Solve for x
    x = 110,989,544.58/12,005
  6. Step 6: Final answer
    x = 9,245.28

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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.