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Finding the Fourth Proportional to 12,196.68, 16,830.48 and 6,892.08

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Solution

The fourth proportional to 12,196.68, 16,830.48 and 6,892.08 is: 9,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.68 : 16,830.48 = 6,892.08 : x
  2. Step 2: Convert to fraction form
    12,196.68/16,830.48 = 6,892.08/x
  3. Step 3: Cross multiply
    12,196.68x = 16,830.48 × 6,892.08
  4. Step 4: Simplify right side
    12,196.68x = 115,997,014.60
  5. Step 5: Solve for x
    x = 115,997,014.60/12,196.68
  6. Step 6: Final answer
    x = 9,510.54

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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.