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Finding the Fourth Proportional to 28,284.27, 39,023.50 and 16,343.25

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Solution

The fourth proportional to 28,284.27, 39,023.50 and 16,343.25 is: 22,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.27 : 39,023.50 = 16,343.25 : x
  2. Step 2: Convert to fraction form
    28,284.27/39,023.50 = 16,343.25/x
  3. Step 3: Cross multiply
    28,284.27x = 39,023.50 × 16,343.25
  4. Step 4: Simplify right side
    28,284.27x = 637,770,816.38
  5. Step 5: Solve for x
    x = 637,770,816.38/28,284.27
  6. Step 6: Final answer
    x = 22,548.60

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Why These Related Problems?

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