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Finding the Fourth Proportional to 27,970.37, 38,604.29 and 16,033.80

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Solution

The fourth proportional to 27,970.37, 38,604.29 and 16,033.80 is: 22,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.37 : 38,604.29 = 16,033.80 : x
  2. Step 2: Convert to fraction form
    27,970.37/38,604.29 = 16,033.80/x
  3. Step 3: Cross multiply
    27,970.37x = 38,604.29 × 16,033.80
  4. Step 4: Simplify right side
    27,970.37x = 618,973,384.83
  5. Step 5: Solve for x
    x = 618,973,384.83/27,970.37
  6. Step 6: Final answer
    x = 22,129.61

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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.