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Finding the Fourth Proportional to 18,286.38, 25,235.21 and 9,902.88

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Solution

The fourth proportional to 18,286.38, 25,235.21 and 9,902.88 is: 13,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.38 : 25,235.21 = 9,902.88 : x
  2. Step 2: Convert to fraction form
    18,286.38/25,235.21 = 9,902.88/x
  3. Step 3: Cross multiply
    18,286.38x = 25,235.21 × 9,902.88
  4. Step 4: Simplify right side
    18,286.38x = 249,901,256.40
  5. Step 5: Solve for x
    x = 249,901,256.40/18,286.38
  6. Step 6: Final answer
    x = 13,665.98

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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.