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Finding the Fourth Proportional to 20,295.80, 30,443.70 and 13,297.40

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Solution

The fourth proportional to 20,295.80, 30,443.70 and 13,297.40 is: 19,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.80 : 30,443.70 = 13,297.40 : x
  2. Step 2: Convert to fraction form
    20,295.80/30,443.70 = 13,297.40/x
  3. Step 3: Cross multiply
    20,295.80x = 30,443.70 × 13,297.40
  4. Step 4: Simplify right side
    20,295.80x = 404,822,056.38
  5. Step 5: Solve for x
    x = 404,822,056.38/20,295.80
  6. Step 6: Final answer
    x = 19,946.10

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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.