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Finding the Fourth Proportional to 21,023.41, 31,529.74 and 6,228.87

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Solution

The fourth proportional to 21,023.41, 31,529.74 and 6,228.87 is: 9,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.41 : 31,529.74 = 6,228.87 : x
  2. Step 2: Convert to fraction form
    21,023.41/31,529.74 = 6,228.87/x
  3. Step 3: Cross multiply
    21,023.41x = 31,529.74 × 6,228.87
  4. Step 4: Simplify right side
    21,023.41x = 196,394,651.59
  5. Step 5: Solve for x
    x = 196,394,651.59/21,023.41
  6. Step 6: Final answer
    x = 9,341.71

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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.