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Finding the Fourth Proportional to 20,211.57, 30,297.51 and 9,678.60

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Solution

The fourth proportional to 20,211.57, 30,297.51 and 9,678.60 is: 14,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.57 : 30,297.51 = 9,678.60 : x
  2. Step 2: Convert to fraction form
    20,211.57/30,297.51 = 9,678.60/x
  3. Step 3: Cross multiply
    20,211.57x = 30,297.51 × 9,678.60
  4. Step 4: Simplify right side
    20,211.57x = 293,237,480.29
  5. Step 5: Solve for x
    x = 293,237,480.29/20,211.57
  6. Step 6: Final answer
    x = 14,508.40

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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.