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Finding the Fourth Proportional to 12,861.63, 19,292.42 and 8,447.16

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Solution

The fourth proportional to 12,861.63, 19,292.42 and 8,447.16 is: 12,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.63 : 19,292.42 = 8,447.16 : x
  2. Step 2: Convert to fraction form
    12,861.63/19,292.42 = 8,447.16/x
  3. Step 3: Cross multiply
    12,861.63x = 19,292.42 × 8,447.16
  4. Step 4: Simplify right side
    12,861.63x = 162,966,158.53
  5. Step 5: Solve for x
    x = 162,966,158.53/12,861.63
  6. Step 6: Final answer
    x = 12,670.73

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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.