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Finding the Fourth Proportional to 12,196.84, 16,830.03 and 7,712.68

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Solution

The fourth proportional to 12,196.84, 16,830.03 and 7,712.68 is: 10,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.84 : 16,830.03 = 7,712.68 : x
  2. Step 2: Convert to fraction form
    12,196.84/16,830.03 = 7,712.68/x
  3. Step 3: Cross multiply
    12,196.84x = 16,830.03 × 7,712.68
  4. Step 4: Simplify right side
    12,196.84x = 129,804,635.78
  5. Step 5: Solve for x
    x = 129,804,635.78/12,196.84
  6. Step 6: Final answer
    x = 10,642.48

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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.