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Finding the Fourth Proportional to 12,090.84, 16,685.31 and 6,785.70

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Solution

The fourth proportional to 12,090.84, 16,685.31 and 6,785.70 is: 9,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.84 : 16,685.31 = 6,785.70 : x
  2. Step 2: Convert to fraction form
    12,090.84/16,685.31 = 6,785.70/x
  3. Step 3: Cross multiply
    12,090.84x = 16,685.31 × 6,785.70
  4. Step 4: Simplify right side
    12,090.84x = 113,221,508.07
  5. Step 5: Solve for x
    x = 113,221,508.07/12,090.84
  6. Step 6: Final answer
    x = 9,364.24

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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.