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Finding the Fourth Proportional to 24,415.20, 36,622.80 and 13,917.60

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Solution

The fourth proportional to 24,415.20, 36,622.80 and 13,917.60 is: 20,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.20 : 36,622.80 = 13,917.60 : x
  2. Step 2: Convert to fraction form
    24,415.20/36,622.80 = 13,917.60/x
  3. Step 3: Cross multiply
    24,415.20x = 36,622.80 × 13,917.60
  4. Step 4: Simplify right side
    24,415.20x = 509,701,481.28
  5. Step 5: Solve for x
    x = 509,701,481.28/24,415.20
  6. Step 6: Final answer
    x = 20,876.40

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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.