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Finding the Fourth Proportional to 24,410.30, 36,615.44 and 8,824.28

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Solution

The fourth proportional to 24,410.30, 36,615.44 and 8,824.28 is: 13,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.30 : 36,615.44 = 8,824.28 : x
  2. Step 2: Convert to fraction form
    24,410.30/36,615.44 = 8,824.28/x
  3. Step 3: Cross multiply
    24,410.30x = 36,615.44 × 8,824.28
  4. Step 4: Simplify right side
    24,410.30x = 323,104,894.88
  5. Step 5: Solve for x
    x = 323,104,894.88/24,410.30
  6. Step 6: Final answer
    x = 13,236.42

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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.