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Finding the Fourth Proportional to 12,861.56, 17,746.62 and 12,205.46

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Solution

The fourth proportional to 12,861.56, 17,746.62 and 12,205.46 is: 16,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.56 : 17,746.62 = 12,205.46 : x
  2. Step 2: Convert to fraction form
    12,861.56/17,746.62 = 12,205.46/x
  3. Step 3: Cross multiply
    12,861.56x = 17,746.62 × 12,205.46
  4. Step 4: Simplify right side
    12,861.56x = 216,605,660.55
  5. Step 5: Solve for x
    x = 216,605,660.55/12,861.56
  6. Step 6: Final answer
    x = 16,841.32

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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.