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Finding the Fourth Proportional to 28,080.16, 38,733.84 and 16,900

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Solution

The fourth proportional to 28,080.16, 38,733.84 and 16,900 is: 23,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,080.16 : 38,733.84 = 16,900 : x
  2. Step 2: Convert to fraction form
    28,080.16/38,733.84 = 16,900/x
  3. Step 3: Cross multiply
    28,080.16x = 38,733.84 × 16,900
  4. Step 4: Simplify right side
    28,080.16x = 654,601,896
  5. Step 5: Solve for x
    x = 654,601,896/28,080.16
  6. Step 6: Final answer
    x = 23,311.90

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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.