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Finding the Fourth Proportional to 20,438.30, 30,661.10 and 5,646.89

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Solution

The fourth proportional to 20,438.30, 30,661.10 and 5,646.89 is: 8,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.30 : 30,661.10 = 5,646.89 : x
  2. Step 2: Convert to fraction form
    20,438.30/30,661.10 = 5,646.89/x
  3. Step 3: Cross multiply
    20,438.30x = 30,661.10 × 5,646.89
  4. Step 4: Simplify right side
    20,438.30x = 173,139,858.98
  5. Step 5: Solve for x
    x = 173,139,858.98/20,438.30
  6. Step 6: Final answer
    x = 8,471.34

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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.