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Finding the Fourth Proportional to 38,416.40, 57,624.60 and 16,245.80

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Solution

The fourth proportional to 38,416.40, 57,624.60 and 16,245.80 is: 24,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.40 : 57,624.60 = 16,245.80 : x
  2. Step 2: Convert to fraction form
    38,416.40/57,624.60 = 16,245.80/x
  3. Step 3: Cross multiply
    38,416.40x = 57,624.60 × 16,245.80
  4. Step 4: Simplify right side
    38,416.40x = 936,157,726.68
  5. Step 5: Solve for x
    x = 936,157,726.68/38,416.40
  6. Step 6: Final answer
    x = 24,368.70

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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.