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Finding the Fourth Proportional to 12,861.68, 19,293.93 and 4,094.55

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Solution

The fourth proportional to 12,861.68, 19,293.93 and 4,094.55 is: 6,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.68 : 19,293.93 = 4,094.55 : x
  2. Step 2: Convert to fraction form
    12,861.68/19,293.93 = 4,094.55/x
  3. Step 3: Cross multiply
    12,861.68x = 19,293.93 × 4,094.55
  4. Step 4: Simplify right side
    12,861.68x = 78,999,961.08
  5. Step 5: Solve for x
    x = 78,999,961.08/12,861.68
  6. Step 6: Final answer
    x = 6,142.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.