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Finding the Fourth Proportional to 12,056.12, 16,636.81 and 6,678.40

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Solution

The fourth proportional to 12,056.12, 16,636.81 and 6,678.40 is: 9,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.12 : 16,636.81 = 6,678.40 : x
  2. Step 2: Convert to fraction form
    12,056.12/16,636.81 = 6,678.40/x
  3. Step 3: Cross multiply
    12,056.12x = 16,636.81 × 6,678.40
  4. Step 4: Simplify right side
    12,056.12x = 111,107,229.16
  5. Step 5: Solve for x
    x = 111,107,229.16/12,056.12
  6. Step 6: Final answer
    x = 9,215.83

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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.