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Finding the Fourth Proportional to 12,126.50, 16,733.37 and 6,821.19

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Solution

The fourth proportional to 12,126.50, 16,733.37 and 6,821.19 is: 9,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.50 : 16,733.37 = 6,821.19 : x
  2. Step 2: Convert to fraction form
    12,126.50/16,733.37 = 6,821.19/x
  3. Step 3: Cross multiply
    12,126.50x = 16,733.37 × 6,821.19
  4. Step 4: Simplify right side
    12,126.50x = 114,141,496.11
  5. Step 5: Solve for x
    x = 114,141,496.11/12,126.50
  6. Step 6: Final answer
    x = 9,412.57

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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.