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Finding the Fourth Proportional to 12,310.30, 18,461.13 and 3,542.86

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Solution

The fourth proportional to 12,310.30, 18,461.13 and 3,542.86 is: 5,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.30 : 18,461.13 = 3,542.86 : x
  2. Step 2: Convert to fraction form
    12,310.30/18,461.13 = 3,542.86/x
  3. Step 3: Cross multiply
    12,310.30x = 18,461.13 × 3,542.86
  4. Step 4: Simplify right side
    12,310.30x = 65,405,199.03
  5. Step 5: Solve for x
    x = 65,405,199.03/12,310.30
  6. Step 6: Final answer
    x = 5,313.05

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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.