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Finding the Fourth Proportional to 12,080.40, 16,256.70 and 12,080.40

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Solution

The fourth proportional to 12,080.40, 16,256.70 and 12,080.40 is: 16,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080.40 : 16,256.70 = 12,080.40 : x
  2. Step 2: Convert to fraction form
    12,080.40/16,256.70 = 12,080.40/x
  3. Step 3: Cross multiply
    12,080.40x = 16,256.70 × 12,080.40
  4. Step 4: Simplify right side
    12,080.40x = 196,387,438.68
  5. Step 5: Solve for x
    x = 196,387,438.68/12,080.40
  6. Step 6: Final answer
    x = 16,256.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.