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Finding the Fourth Proportional to 20,343.44, 30,475.16 and 13,396.88

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Solution

The fourth proportional to 20,343.44, 30,475.16 and 13,396.88 is: 20,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343.44 : 30,475.16 = 13,396.88 : x
  2. Step 2: Convert to fraction form
    20,343.44/30,475.16 = 13,396.88/x
  3. Step 3: Cross multiply
    20,343.44x = 30,475.16 × 13,396.88
  4. Step 4: Simplify right side
    20,343.44x = 408,272,061.50
  5. Step 5: Solve for x
    x = 408,272,061.50/20,343.44
  6. Step 6: Final answer
    x = 20,068.98

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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.