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Finding the Fourth Proportional to 13,537.92, 20,308.50 and 4,771.02

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Solution

The fourth proportional to 13,537.92, 20,308.50 and 4,771.02 is: 7,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.92 : 20,308.50 = 4,771.02 : x
  2. Step 2: Convert to fraction form
    13,537.92/20,308.50 = 4,771.02/x
  3. Step 3: Cross multiply
    13,537.92x = 20,308.50 × 4,771.02
  4. Step 4: Simplify right side
    13,537.92x = 96,892,259.67
  5. Step 5: Solve for x
    x = 96,892,259.67/13,537.92
  6. Step 6: Final answer
    x = 7,157.10

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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.