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Finding the Fourth Proportional to 12,395.96, 17,100.42 and 8,207.72

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Solution

The fourth proportional to 12,395.96, 17,100.42 and 8,207.72 is: 11,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.96 : 17,100.42 = 8,207.72 : x
  2. Step 2: Convert to fraction form
    12,395.96/17,100.42 = 8,207.72/x
  3. Step 3: Cross multiply
    12,395.96x = 17,100.42 × 8,207.72
  4. Step 4: Simplify right side
    12,395.96x = 140,355,459.24
  5. Step 5: Solve for x
    x = 140,355,459.24/12,395.96
  6. Step 6: Final answer
    x = 11,322.68

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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.