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Finding the Fourth Proportional to 20,874.28, 31,311.40 and 7,033

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Solution

The fourth proportional to 20,874.28, 31,311.40 and 7,033 is: 10,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.28 : 31,311.40 = 7,033 : x
  2. Step 2: Convert to fraction form
    20,874.28/31,311.40 = 7,033/x
  3. Step 3: Cross multiply
    20,874.28x = 31,311.40 × 7,033
  4. Step 4: Simplify right side
    20,874.28x = 220,213,076.20
  5. Step 5: Solve for x
    x = 220,213,076.20/20,874.28
  6. Step 6: Final answer
    x = 10,549.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.