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Finding the Fourth Proportional to 18,809.92, 25,957.92 and 10,853.80

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Solution

The fourth proportional to 18,809.92, 25,957.92 and 10,853.80 is: 14,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,809.92 : 25,957.92 = 10,853.80 : x
  2. Step 2: Convert to fraction form
    18,809.92/25,957.92 = 10,853.80/x
  3. Step 3: Cross multiply
    18,809.92x = 25,957.92 × 10,853.80
  4. Step 4: Simplify right side
    18,809.92x = 281,742,072.10
  5. Step 5: Solve for x
    x = 281,742,072.10/18,809.92
  6. Step 6: Final answer
    x = 14,978.38

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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.