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Finding the Fourth Proportional to 20,814.63, 31,221.94 and 5,232.25

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Solution

The fourth proportional to 20,814.63, 31,221.94 and 5,232.25 is: 7,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.63 : 31,221.94 = 5,232.25 : x
  2. Step 2: Convert to fraction form
    20,814.63/31,221.94 = 5,232.25/x
  3. Step 3: Cross multiply
    20,814.63x = 31,221.94 × 5,232.25
  4. Step 4: Simplify right side
    20,814.63x = 163,360,995.57
  5. Step 5: Solve for x
    x = 163,360,995.57/20,814.63
  6. Step 6: Final answer
    x = 7,848.37

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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.