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Finding the Fourth Proportional to 12,196.31, 16,828.43 and 9,366.86

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Solution

The fourth proportional to 12,196.31, 16,828.43 and 9,366.86 is: 12,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.31 : 16,828.43 = 9,366.86 : x
  2. Step 2: Convert to fraction form
    12,196.31/16,828.43 = 9,366.86/x
  3. Step 3: Cross multiply
    12,196.31x = 16,828.43 × 9,366.86
  4. Step 4: Simplify right side
    12,196.31x = 157,629,543.07
  5. Step 5: Solve for x
    x = 157,629,543.07/12,196.31
  6. Step 6: Final answer
    x = 12,924.37

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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.