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Finding the Fourth Proportional to 18,809.75, 25,957.50 and 10,426.25

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Solution

The fourth proportional to 18,809.75, 25,957.50 and 10,426.25 is: 14,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,809.75 : 25,957.50 = 10,426.25 : x
  2. Step 2: Convert to fraction form
    18,809.75/25,957.50 = 10,426.25/x
  3. Step 3: Cross multiply
    18,809.75x = 25,957.50 × 10,426.25
  4. Step 4: Simplify right side
    18,809.75x = 270,639,384.38
  5. Step 5: Solve for x
    x = 270,639,384.38/18,809.75
  6. Step 6: Final answer
    x = 14,388.25

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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.