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Finding the Fourth Proportional to 13,676.64, 20,517.25 and 6,281.74

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Solution

The fourth proportional to 13,676.64, 20,517.25 and 6,281.74 is: 9,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.64 : 20,517.25 = 6,281.74 : x
  2. Step 2: Convert to fraction form
    13,676.64/20,517.25 = 6,281.74/x
  3. Step 3: Cross multiply
    13,676.64x = 20,517.25 × 6,281.74
  4. Step 4: Simplify right side
    13,676.64x = 128,884,030.02
  5. Step 5: Solve for x
    x = 128,884,030.02/13,676.64
  6. Step 6: Final answer
    x = 9,423.66

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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.