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Finding the Fourth Proportional to 12,328.96, 17,013.09 and 7,022.80

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Solution

The fourth proportional to 12,328.96, 17,013.09 and 7,022.80 is: 9,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.96 : 17,013.09 = 7,022.80 : x
  2. Step 2: Convert to fraction form
    12,328.96/17,013.09 = 7,022.80/x
  3. Step 3: Cross multiply
    12,328.96x = 17,013.09 × 7,022.80
  4. Step 4: Simplify right side
    12,328.96x = 119,479,528.45
  5. Step 5: Solve for x
    x = 119,479,528.45/12,328.96
  6. Step 6: Final answer
    x = 9,690.97

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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.