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Finding the Fourth Proportional to 13,563.18, 20,339.69 and 4,676.00

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Solution

The fourth proportional to 13,563.18, 20,339.69 and 4,676.00 is: 7,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.18 : 20,339.69 = 4,676.00 : x
  2. Step 2: Convert to fraction form
    13,563.18/20,339.69 = 4,676.00/x
  3. Step 3: Cross multiply
    13,563.18x = 20,339.69 × 4,676.00
  4. Step 4: Simplify right side
    13,563.18x = 95,108,265.36
  5. Step 5: Solve for x
    x = 95,108,265.36/13,563.18
  6. Step 6: Final answer
    x = 7,012.24

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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.