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Finding the Fourth Proportional to 12,861.60, 17,725.20 and 9,712.80

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Solution

The fourth proportional to 12,861.60, 17,725.20 and 9,712.80 is: 13,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.60 : 17,725.20 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    12,861.60/17,725.20 = 9,712.80/x
  3. Step 3: Cross multiply
    12,861.60x = 17,725.20 × 9,712.80
  4. Step 4: Simplify right side
    12,861.60x = 172,161,322.56
  5. Step 5: Solve for x
    x = 172,161,322.56/12,861.60
  6. Step 6: Final answer
    x = 13,385.68

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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.