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Finding the Fourth Proportional to 17,764.32, 24,524.16 and 11,480.28

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Solution

The fourth proportional to 17,764.32, 24,524.16 and 11,480.28 is: 15,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.32 : 24,524.16 = 11,480.28 : x
  2. Step 2: Convert to fraction form
    17,764.32/24,524.16 = 11,480.28/x
  3. Step 3: Cross multiply
    17,764.32x = 24,524.16 × 11,480.28
  4. Step 4: Simplify right side
    17,764.32x = 281,544,223.56
  5. Step 5: Solve for x
    x = 281,544,223.56/17,764.32
  6. Step 6: Final answer
    x = 15,848.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.