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Finding the Fourth Proportional to 13,707.68, 20,563.29 and 4,822.38

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Solution

The fourth proportional to 13,707.68, 20,563.29 and 4,822.38 is: 7,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.68 : 20,563.29 = 4,822.38 : x
  2. Step 2: Convert to fraction form
    13,707.68/20,563.29 = 4,822.38/x
  3. Step 3: Cross multiply
    13,707.68x = 20,563.29 × 4,822.38
  4. Step 4: Simplify right side
    13,707.68x = 99,163,998.43
  5. Step 5: Solve for x
    x = 99,163,998.43/13,707.68
  6. Step 6: Final answer
    x = 7,234.20

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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.