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Finding the Fourth Proportional to 21,112.67, 31,673.52 and 7,785.70

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Solution

The fourth proportional to 21,112.67, 31,673.52 and 7,785.70 is: 11,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.67 : 31,673.52 = 7,785.70 : x
  2. Step 2: Convert to fraction form
    21,112.67/31,673.52 = 7,785.70/x
  3. Step 3: Cross multiply
    21,112.67x = 31,673.52 × 7,785.70
  4. Step 4: Simplify right side
    21,112.67x = 246,600,416.28
  5. Step 5: Solve for x
    x = 246,600,416.28/21,112.67
  6. Step 6: Final answer
    x = 11,680.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.