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Finding the Fourth Proportional to 13,563.30, 20,305.35 and 9,675.30

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Solution

The fourth proportional to 13,563.30, 20,305.35 and 9,675.30 is: 14,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.30 : 20,305.35 = 9,675.30 : x
  2. Step 2: Convert to fraction form
    13,563.30/20,305.35 = 9,675.30/x
  3. Step 3: Cross multiply
    13,563.30x = 20,305.35 × 9,675.30
  4. Step 4: Simplify right side
    13,563.30x = 196,460,352.86
  5. Step 5: Solve for x
    x = 196,460,352.86/13,563.30
  6. Step 6: Final answer
    x = 14,484.70

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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.