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Finding the Fourth Proportional to 12,309.44, 16,988.82 and 7,005.56

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Solution

The fourth proportional to 12,309.44, 16,988.82 and 7,005.56 is: 9,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.44 : 16,988.82 = 7,005.56 : x
  2. Step 2: Convert to fraction form
    12,309.44/16,988.82 = 7,005.56/x
  3. Step 3: Cross multiply
    12,309.44x = 16,988.82 × 7,005.56
  4. Step 4: Simplify right side
    12,309.44x = 119,016,197.84
  5. Step 5: Solve for x
    x = 119,016,197.84/12,309.44
  6. Step 6: Final answer
    x = 9,668.69

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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.