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Finding the Fourth Proportional to 13,490.90, 20,234.37 and 9,760.47

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Solution

The fourth proportional to 13,490.90, 20,234.37 and 9,760.47 is: 14,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.90 : 20,234.37 = 9,760.47 : x
  2. Step 2: Convert to fraction form
    13,490.90/20,234.37 = 9,760.47/x
  3. Step 3: Cross multiply
    13,490.90x = 20,234.37 × 9,760.47
  4. Step 4: Simplify right side
    13,490.90x = 197,496,835.78
  5. Step 5: Solve for x
    x = 197,496,835.78/13,490.90
  6. Step 6: Final answer
    x = 14,639.27

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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.