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Finding the Fourth Proportional to 28,206.26, 38,915.10 and 16,269.29

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Solution

The fourth proportional to 28,206.26, 38,915.10 and 16,269.29 is: 22,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.26 : 38,915.10 = 16,269.29 : x
  2. Step 2: Convert to fraction form
    28,206.26/38,915.10 = 16,269.29/x
  3. Step 3: Cross multiply
    28,206.26x = 38,915.10 × 16,269.29
  4. Step 4: Simplify right side
    28,206.26x = 633,121,047.28
  5. Step 5: Solve for x
    x = 633,121,047.28/28,206.26
  6. Step 6: Final answer
    x = 22,446.12

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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.