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Finding the Fourth Proportional to 34,213.80, 51,289.74 and 13,431.72

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Solution

The fourth proportional to 34,213.80, 51,289.74 and 13,431.72 is: 20,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.80 : 51,289.74 = 13,431.72 : x
  2. Step 2: Convert to fraction form
    34,213.80/51,289.74 = 13,431.72/x
  3. Step 3: Cross multiply
    34,213.80x = 51,289.74 × 13,431.72
  4. Step 4: Simplify right side
    34,213.80x = 688,909,426.55
  5. Step 5: Solve for x
    x = 688,909,426.55/34,213.80
  6. Step 6: Final answer
    x = 20,135.43

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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.