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Finding the Fourth Proportional to 20,657.25, 30,980.34 and 8,967.69

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Solution

The fourth proportional to 20,657.25, 30,980.34 and 8,967.69 is: 13,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.25 : 30,980.34 = 8,967.69 : x
  2. Step 2: Convert to fraction form
    20,657.25/30,980.34 = 8,967.69/x
  3. Step 3: Cross multiply
    20,657.25x = 30,980.34 × 8,967.69
  4. Step 4: Simplify right side
    20,657.25x = 277,822,040.38
  5. Step 5: Solve for x
    x = 277,822,040.38/20,657.25
  6. Step 6: Final answer
    x = 13,449.13

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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.