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Finding the Fourth Proportional to 12,096.38, 16,693.70 and 8,056.19

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Solution

The fourth proportional to 12,096.38, 16,693.70 and 8,056.19 is: 11,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.38 : 16,693.70 = 8,056.19 : x
  2. Step 2: Convert to fraction form
    12,096.38/16,693.70 = 8,056.19/x
  3. Step 3: Cross multiply
    12,096.38x = 16,693.70 × 8,056.19
  4. Step 4: Simplify right side
    12,096.38x = 134,487,495.25
  5. Step 5: Solve for x
    x = 134,487,495.25/12,096.38
  6. Step 6: Final answer
    x = 11,118.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.