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Finding the Fourth Proportional to 17,243.40, 25,846.72 and 9,831.90

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Solution

The fourth proportional to 17,243.40, 25,846.72 and 9,831.90 is: 14,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243.40 : 25,846.72 = 9,831.90 : x
  2. Step 2: Convert to fraction form
    17,243.40/25,846.72 = 9,831.90/x
  3. Step 3: Cross multiply
    17,243.40x = 25,846.72 × 9,831.90
  4. Step 4: Simplify right side
    17,243.40x = 254,122,381.83
  5. Step 5: Solve for x
    x = 254,122,381.83/17,243.40
  6. Step 6: Final answer
    x = 14,737.37

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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.