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Finding the Fourth Proportional to 26,470.49, 36,546.37 and 16,409.69

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Solution

The fourth proportional to 26,470.49, 36,546.37 and 16,409.69 is: 22,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,470.49 : 36,546.37 = 16,409.69 : x
  2. Step 2: Convert to fraction form
    26,470.49/36,546.37 = 16,409.69/x
  3. Step 3: Cross multiply
    26,470.49x = 36,546.37 × 16,409.69
  4. Step 4: Simplify right side
    26,470.49x = 599,714,419.59
  5. Step 5: Solve for x
    x = 599,714,419.59/26,470.49
  6. Step 6: Final answer
    x = 22,655.96

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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.