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Finding the Fourth Proportional to 13,311.96, 19,971.48 and 4,546.86

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Solution

The fourth proportional to 13,311.96, 19,971.48 and 4,546.86 is: 6,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.96 : 19,971.48 = 4,546.86 : x
  2. Step 2: Convert to fraction form
    13,311.96/19,971.48 = 4,546.86/x
  3. Step 3: Cross multiply
    13,311.96x = 19,971.48 × 4,546.86
  4. Step 4: Simplify right side
    13,311.96x = 90,807,523.55
  5. Step 5: Solve for x
    x = 90,807,523.55/13,311.96
  6. Step 6: Final answer
    x = 6,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.