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Finding the Fourth Proportional to 17,430, 24,073.20 and 11,831.28

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Solution

The fourth proportional to 17,430, 24,073.20 and 11,831.28 is: 16,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430 : 24,073.20 = 11,831.28 : x
  2. Step 2: Convert to fraction form
    17,430/24,073.20 = 11,831.28/x
  3. Step 3: Cross multiply
    17,430x = 24,073.20 × 11,831.28
  4. Step 4: Simplify right side
    17,430x = 284,816,769.70
  5. Step 5: Solve for x
    x = 284,816,769.70/17,430
  6. Step 6: Final answer
    x = 16,340.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.