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Finding the Fourth Proportional to 25,644.38, 35,390.46 and 14,466.38

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Solution

The fourth proportional to 25,644.38, 35,390.46 and 14,466.38 is: 19,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.38 : 35,390.46 = 14,466.38 : x
  2. Step 2: Convert to fraction form
    25,644.38/35,390.46 = 14,466.38/x
  3. Step 3: Cross multiply
    25,644.38x = 35,390.46 × 14,466.38
  4. Step 4: Simplify right side
    25,644.38x = 511,971,665.78
  5. Step 5: Solve for x
    x = 511,971,665.78/25,644.38
  6. Step 6: Final answer
    x = 19,964.29

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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.