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Finding the Fourth Proportional to 34,207.60, 51,306.27 and 10,831

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Solution

The fourth proportional to 34,207.60, 51,306.27 and 10,831 is: 16,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207.60 : 51,306.27 = 10,831 : x
  2. Step 2: Convert to fraction form
    34,207.60/51,306.27 = 10,831/x
  3. Step 3: Cross multiply
    34,207.60x = 51,306.27 × 10,831
  4. Step 4: Simplify right side
    34,207.60x = 555,698,210.37
  5. Step 5: Solve for x
    x = 555,698,210.37/34,207.60
  6. Step 6: Final answer
    x = 16,244.88

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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.