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Finding the Fourth Proportional to 25,644.54, 38,471.79 and 9,848.41

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Solution

The fourth proportional to 25,644.54, 38,471.79 and 9,848.41 is: 14,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.54 : 38,471.79 = 9,848.41 : x
  2. Step 2: Convert to fraction form
    25,644.54/38,471.79 = 9,848.41/x
  3. Step 3: Cross multiply
    25,644.54x = 38,471.79 × 9,848.41
  4. Step 4: Simplify right side
    25,644.54x = 378,885,719.75
  5. Step 5: Solve for x
    x = 378,885,719.75/25,644.54
  6. Step 6: Final answer
    x = 14,774.52

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Why These Related Problems?

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