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Finding the Fourth Proportional to 12,230.90, 16,879.58 and 6,853.07

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Solution

The fourth proportional to 12,230.90, 16,879.58 and 6,853.07 is: 9,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.90 : 16,879.58 = 6,853.07 : x
  2. Step 2: Convert to fraction form
    12,230.90/16,879.58 = 6,853.07/x
  3. Step 3: Cross multiply
    12,230.90x = 16,879.58 × 6,853.07
  4. Step 4: Simplify right side
    12,230.90x = 115,676,943.31
  5. Step 5: Solve for x
    x = 115,676,943.31/12,230.90
  6. Step 6: Final answer
    x = 9,457.76

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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.