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Finding the Fourth Proportional to 20,478.80, 30,710.52 and 8,786

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Solution

The fourth proportional to 20,478.80, 30,710.52 and 8,786 is: 13,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.80 : 30,710.52 = 8,786 : x
  2. Step 2: Convert to fraction form
    20,478.80/30,710.52 = 8,786/x
  3. Step 3: Cross multiply
    20,478.80x = 30,710.52 × 8,786
  4. Step 4: Simplify right side
    20,478.80x = 269,822,628.72
  5. Step 5: Solve for x
    x = 269,822,628.72/20,478.80
  6. Step 6: Final answer
    x = 13,175.71

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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.