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Finding the Fourth Proportional to 12,193.68, 16,828.20 and 6,890.16

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Solution

The fourth proportional to 12,193.68, 16,828.20 and 6,890.16 is: 9,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.68 : 16,828.20 = 6,890.16 : x
  2. Step 2: Convert to fraction form
    12,193.68/16,828.20 = 6,890.16/x
  3. Step 3: Cross multiply
    12,193.68x = 16,828.20 × 6,890.16
  4. Step 4: Simplify right side
    12,193.68x = 115,948,990.51
  5. Step 5: Solve for x
    x = 115,948,990.51/12,193.68
  6. Step 6: Final answer
    x = 9,508.94

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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.