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Finding the Fourth Proportional to 12,090.96, 16,685.88 and 6,785.70

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Solution

The fourth proportional to 12,090.96, 16,685.88 and 6,785.70 is: 9,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.96 : 16,685.88 = 6,785.70 : x
  2. Step 2: Convert to fraction form
    12,090.96/16,685.88 = 6,785.70/x
  3. Step 3: Cross multiply
    12,090.96x = 16,685.88 × 6,785.70
  4. Step 4: Simplify right side
    12,090.96x = 113,225,375.92
  5. Step 5: Solve for x
    x = 113,225,375.92/12,090.96
  6. Step 6: Final answer
    x = 9,364.47

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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.