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Finding the Fourth Proportional to 34,846.56, 52,253.37 and 13,509.27

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Solution

The fourth proportional to 34,846.56, 52,253.37 and 13,509.27 is: 20,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.56 : 52,253.37 = 13,509.27 : x
  2. Step 2: Convert to fraction form
    34,846.56/52,253.37 = 13,509.27/x
  3. Step 3: Cross multiply
    34,846.56x = 52,253.37 × 13,509.27
  4. Step 4: Simplify right side
    34,846.56x = 705,904,883.74
  5. Step 5: Solve for x
    x = 705,904,883.74/34,846.56
  6. Step 6: Final answer
    x = 20,257.52

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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.