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Finding the Fourth Proportional to 28,125, 38,817.36 and 16,947

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Solution

The fourth proportional to 28,125, 38,817.36 and 16,947 is: 23,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,125 : 38,817.36 = 16,947 : x
  2. Step 2: Convert to fraction form
    28,125/38,817.36 = 16,947/x
  3. Step 3: Cross multiply
    28,125x = 38,817.36 × 16,947
  4. Step 4: Simplify right side
    28,125x = 657,837,799.92
  5. Step 5: Solve for x
    x = 657,837,799.92/28,125
  6. Step 6: Final answer
    x = 23,389.79

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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.