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Finding the Fourth Proportional to 25,494, 38,256.12 and 11,644.08

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Solution

The fourth proportional to 25,494, 38,256.12 and 11,644.08 is: 17,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494 : 38,256.12 = 11,644.08 : x
  2. Step 2: Convert to fraction form
    25,494/38,256.12 = 11,644.08/x
  3. Step 3: Cross multiply
    25,494x = 38,256.12 × 11,644.08
  4. Step 4: Simplify right side
    25,494x = 445,457,321.77
  5. Step 5: Solve for x
    x = 445,457,321.77/25,494
  6. Step 6: Final answer
    x = 17,473.03

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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.