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Finding the Fourth Proportional to 28,739.28, 39,659.82 and 16,164

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Solution

The fourth proportional to 28,739.28, 39,659.82 and 16,164 is: 22,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,739.28 : 39,659.82 = 16,164 : x
  2. Step 2: Convert to fraction form
    28,739.28/39,659.82 = 16,164/x
  3. Step 3: Cross multiply
    28,739.28x = 39,659.82 × 16,164
  4. Step 4: Simplify right side
    28,739.28x = 641,061,330.48
  5. Step 5: Solve for x
    x = 641,061,330.48/28,739.28
  6. Step 6: Final answer
    x = 22,306.10

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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.