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Finding the Fourth Proportional to 13,466.89, 20,200.48 and 4,701.83

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Solution

The fourth proportional to 13,466.89, 20,200.48 and 4,701.83 is: 7,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.89 : 20,200.48 = 4,701.83 : x
  2. Step 2: Convert to fraction form
    13,466.89/20,200.48 = 4,701.83/x
  3. Step 3: Cross multiply
    13,466.89x = 20,200.48 × 4,701.83
  4. Step 4: Simplify right side
    13,466.89x = 94,979,222.88
  5. Step 5: Solve for x
    x = 94,979,222.88/13,466.89
  6. Step 6: Final answer
    x = 7,052.80

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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.