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Finding the Fourth Proportional to 21,785.74, 32,674.68 and 5,775.38

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Solution

The fourth proportional to 21,785.74, 32,674.68 and 5,775.38 is: 8,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.74 : 32,674.68 = 5,775.38 : x
  2. Step 2: Convert to fraction form
    21,785.74/32,674.68 = 5,775.38/x
  3. Step 3: Cross multiply
    21,785.74x = 32,674.68 × 5,775.38
  4. Step 4: Simplify right side
    21,785.74x = 188,708,693.38
  5. Step 5: Solve for x
    x = 188,708,693.38/21,785.74
  6. Step 6: Final answer
    x = 8,662.03

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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.