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Finding the Fourth Proportional to 12,017.70, 16,582.99 and 6,983.48

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Solution

The fourth proportional to 12,017.70, 16,582.99 and 6,983.48 is: 9,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.70 : 16,582.99 = 6,983.48 : x
  2. Step 2: Convert to fraction form
    12,017.70/16,582.99 = 6,983.48/x
  3. Step 3: Cross multiply
    12,017.70x = 16,582.99 × 6,983.48
  4. Step 4: Simplify right side
    12,017.70x = 115,806,979.01
  5. Step 5: Solve for x
    x = 115,806,979.01/12,017.70
  6. Step 6: Final answer
    x = 9,636.37

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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.