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Finding the Fourth Proportional to 17,234.71, 25,831.21 and 7,861.90

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Solution

The fourth proportional to 17,234.71, 25,831.21 and 7,861.90 is: 11,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.71 : 25,831.21 = 7,861.90 : x
  2. Step 2: Convert to fraction form
    17,234.71/25,831.21 = 7,861.90/x
  3. Step 3: Cross multiply
    17,234.71x = 25,831.21 × 7,861.90
  4. Step 4: Simplify right side
    17,234.71x = 203,082,389.90
  5. Step 5: Solve for x
    x = 203,082,389.90/17,234.71
  6. Step 6: Final answer
    x = 11,783.34

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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.