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Finding the Fourth Proportional to 20,475.30, 30,712.94 and 5,684.21

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Solution

The fourth proportional to 20,475.30, 30,712.94 and 5,684.21 is: 8,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.30 : 30,712.94 = 5,684.21 : x
  2. Step 2: Convert to fraction form
    20,475.30/30,712.94 = 5,684.21/x
  3. Step 3: Cross multiply
    20,475.30x = 30,712.94 × 5,684.21
  4. Step 4: Simplify right side
    20,475.30x = 174,578,849.04
  5. Step 5: Solve for x
    x = 174,578,849.04/20,475.30
  6. Step 6: Final answer
    x = 8,526.31

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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.