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Finding the Fourth Proportional to 24,415.12, 36,622.74 and 6,885.04

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Solution

The fourth proportional to 24,415.12, 36,622.74 and 6,885.04 is: 10,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.12 : 36,622.74 = 6,885.04 : x
  2. Step 2: Convert to fraction form
    24,415.12/36,622.74 = 6,885.04/x
  3. Step 3: Cross multiply
    24,415.12x = 36,622.74 × 6,885.04
  4. Step 4: Simplify right side
    24,415.12x = 252,149,029.81
  5. Step 5: Solve for x
    x = 252,149,029.81/24,415.12
  6. Step 6: Final answer
    x = 10,327.58

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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.