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Finding the Fourth Proportional to 12,232.09, 16,877.39 and 7,196.53

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Solution

The fourth proportional to 12,232.09, 16,877.39 and 7,196.53 is: 9,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.09 : 16,877.39 = 7,196.53 : x
  2. Step 2: Convert to fraction form
    12,232.09/16,877.39 = 7,196.53/x
  3. Step 3: Cross multiply
    12,232.09x = 16,877.39 × 7,196.53
  4. Step 4: Simplify right side
    12,232.09x = 121,458,523.09
  5. Step 5: Solve for x
    x = 121,458,523.09/12,232.09
  6. Step 6: Final answer
    x = 9,929.50

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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.