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Finding the Fourth Proportional to 12,194.94, 16,828.08 and 6,890.24

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Solution

The fourth proportional to 12,194.94, 16,828.08 and 6,890.24 is: 9,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.94 : 16,828.08 = 6,890.24 : x
  2. Step 2: Convert to fraction form
    12,194.94/16,828.08 = 6,890.24/x
  3. Step 3: Cross multiply
    12,194.94x = 16,828.08 × 6,890.24
  4. Step 4: Simplify right side
    12,194.94x = 115,949,509.94
  5. Step 5: Solve for x
    x = 115,949,509.94/12,194.94
  6. Step 6: Final answer
    x = 9,508.00

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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.