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Finding the Fourth Proportional to 12,127.29, 16,734.76 and 6,821.09

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Solution

The fourth proportional to 12,127.29, 16,734.76 and 6,821.09 is: 9,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.29 : 16,734.76 = 6,821.09 : x
  2. Step 2: Convert to fraction form
    12,127.29/16,734.76 = 6,821.09/x
  3. Step 3: Cross multiply
    12,127.29x = 16,734.76 × 6,821.09
  4. Step 4: Simplify right side
    12,127.29x = 114,149,267.01
  5. Step 5: Solve for x
    x = 114,149,267.01/12,127.29
  6. Step 6: Final answer
    x = 9,412.59

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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.