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Finding the Fourth Proportional to 20,575.08, 30,866.94 and 6,723

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Solution

The fourth proportional to 20,575.08, 30,866.94 and 6,723 is: 10,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.08 : 30,866.94 = 6,723 : x
  2. Step 2: Convert to fraction form
    20,575.08/30,866.94 = 6,723/x
  3. Step 3: Cross multiply
    20,575.08x = 30,866.94 × 6,723
  4. Step 4: Simplify right side
    20,575.08x = 207,518,437.62
  5. Step 5: Solve for x
    x = 207,518,437.62/20,575.08
  6. Step 6: Final answer
    x = 10,085.91

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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.