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Finding the Fourth Proportional to 24,380.24, 33,624.60 and 16,419.20

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Solution

The fourth proportional to 24,380.24, 33,624.60 and 16,419.20 is: 22,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.24 : 33,624.60 = 16,419.20 : x
  2. Step 2: Convert to fraction form
    24,380.24/33,624.60 = 16,419.20/x
  3. Step 3: Cross multiply
    24,380.24x = 33,624.60 × 16,419.20
  4. Step 4: Simplify right side
    24,380.24x = 552,089,032.32
  5. Step 5: Solve for x
    x = 552,089,032.32/24,380.24
  6. Step 6: Final answer
    x = 22,644.94

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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.