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Finding the Fourth Proportional to 25,644.38, 38,471.55 and 9,848.25

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Solution

The fourth proportional to 25,644.38, 38,471.55 and 9,848.25 is: 14,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.38 : 38,471.55 = 9,848.25 : x
  2. Step 2: Convert to fraction form
    25,644.38/38,471.55 = 9,848.25/x
  3. Step 3: Cross multiply
    25,644.38x = 38,471.55 × 9,848.25
  4. Step 4: Simplify right side
    25,644.38x = 378,877,433.05
  5. Step 5: Solve for x
    x = 378,877,433.05/25,644.38
  6. Step 6: Final answer
    x = 14,774.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.