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Finding the Fourth Proportional to 20,553.49, 30,829.51 and 8,704

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Solution

The fourth proportional to 20,553.49, 30,829.51 and 8,704 is: 13,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,553.49 : 30,829.51 = 8,704 : x
  2. Step 2: Convert to fraction form
    20,553.49/30,829.51 = 8,704/x
  3. Step 3: Cross multiply
    20,553.49x = 30,829.51 × 8,704
  4. Step 4: Simplify right side
    20,553.49x = 268,340,055.04
  5. Step 5: Solve for x
    x = 268,340,055.04/20,553.49
  6. Step 6: Final answer
    x = 13,055.69

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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.