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Finding the Fourth Proportional to 13,527.96, 20,291.97 and 5,211.89

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Solution

The fourth proportional to 13,527.96, 20,291.97 and 5,211.89 is: 7,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.96 : 20,291.97 = 5,211.89 : x
  2. Step 2: Convert to fraction form
    13,527.96/20,291.97 = 5,211.89/x
  3. Step 3: Cross multiply
    13,527.96x = 20,291.97 × 5,211.89
  4. Step 4: Simplify right side
    13,527.96x = 105,759,594.53
  5. Step 5: Solve for x
    x = 105,759,594.53/13,527.96
  6. Step 6: Final answer
    x = 7,817.85

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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.