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Finding the Fourth Proportional to 13,506.64, 20,266.02 and 8,574.96

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Solution

The fourth proportional to 13,506.64, 20,266.02 and 8,574.96 is: 12,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.64 : 20,266.02 = 8,574.96 : x
  2. Step 2: Convert to fraction form
    13,506.64/20,266.02 = 8,574.96/x
  3. Step 3: Cross multiply
    13,506.64x = 20,266.02 × 8,574.96
  4. Step 4: Simplify right side
    13,506.64x = 173,780,310.86
  5. Step 5: Solve for x
    x = 173,780,310.86/13,506.64
  6. Step 6: Final answer
    x = 12,866.29

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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.