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Finding the Fourth Proportional to 23,003.76, 34,506.24 and 8,214.24

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Solution

The fourth proportional to 23,003.76, 34,506.24 and 8,214.24 is: 12,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.76 : 34,506.24 = 8,214.24 : x
  2. Step 2: Convert to fraction form
    23,003.76/34,506.24 = 8,214.24/x
  3. Step 3: Cross multiply
    23,003.76x = 34,506.24 × 8,214.24
  4. Step 4: Simplify right side
    23,003.76x = 283,442,536.86
  5. Step 5: Solve for x
    x = 283,442,536.86/23,003.76
  6. Step 6: Final answer
    x = 12,321.57

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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.