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Finding the Fourth Proportional to 12,096.30, 16,693.64 and 8,056.20

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Solution

The fourth proportional to 12,096.30, 16,693.64 and 8,056.20 is: 11,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.30 : 16,693.64 = 8,056.20 : x
  2. Step 2: Convert to fraction form
    12,096.30/16,693.64 = 8,056.20/x
  3. Step 3: Cross multiply
    12,096.30x = 16,693.64 × 8,056.20
  4. Step 4: Simplify right side
    12,096.30x = 134,487,302.57
  5. Step 5: Solve for x
    x = 134,487,302.57/12,096.30
  6. Step 6: Final answer
    x = 11,118.05

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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.