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Finding the Fourth Proportional to 29,829.60, 41,164.97 and 16,400.52

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Solution

The fourth proportional to 29,829.60, 41,164.97 and 16,400.52 is: 22,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.60 : 41,164.97 = 16,400.52 : x
  2. Step 2: Convert to fraction form
    29,829.60/41,164.97 = 16,400.52/x
  3. Step 3: Cross multiply
    29,829.60x = 41,164.97 × 16,400.52
  4. Step 4: Simplify right side
    29,829.60x = 675,126,831.78
  5. Step 5: Solve for x
    x = 675,126,831.78/29,829.60
  6. Step 6: Final answer
    x = 22,632.78

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