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Finding the Fourth Proportional to 12,196.89, 16,834.47 and 6,894.78

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Solution

The fourth proportional to 12,196.89, 16,834.47 and 6,894.78 is: 9,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.89 : 16,834.47 = 6,894.78 : x
  2. Step 2: Convert to fraction form
    12,196.89/16,834.47 = 6,894.78/x
  3. Step 3: Cross multiply
    12,196.89x = 16,834.47 × 6,894.78
  4. Step 4: Simplify right side
    12,196.89x = 116,069,967.07
  5. Step 5: Solve for x
    x = 116,069,967.07/12,196.89
  6. Step 6: Final answer
    x = 9,516.36

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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.