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Finding the Fourth Proportional to 12,080.56, 16,669.64 and 7,046.42

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Solution

The fourth proportional to 12,080.56, 16,669.64 and 7,046.42 is: 9,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.56 : 16,669.64 = 7,046.42 : x
  2. Step 2: Convert to fraction form
    12,080.56/16,669.64 = 7,046.42/x
  3. Step 3: Cross multiply
    12,080.56x = 16,669.64 × 7,046.42
  4. Step 4: Simplify right side
    12,080.56x = 117,461,284.69
  5. Step 5: Solve for x
    x = 117,461,284.69/12,080.56
  6. Step 6: Final answer
    x = 9,723.17

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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.