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Finding the Fourth Proportional to 12,130.80, 16,725.60 and 9,884.40

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Solution

The fourth proportional to 12,130.80, 16,725.60 and 9,884.40 is: 13,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.80 : 16,725.60 = 9,884.40 : x
  2. Step 2: Convert to fraction form
    12,130.80/16,725.60 = 9,884.40/x
  3. Step 3: Cross multiply
    12,130.80x = 16,725.60 × 9,884.40
  4. Step 4: Simplify right side
    12,130.80x = 165,322,520.64
  5. Step 5: Solve for x
    x = 165,322,520.64/12,130.80
  6. Step 6: Final answer
    x = 13,628.33

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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.