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Finding the Fourth Proportional to 13,211.64, 19,817.58 and 5,713.80

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Solution

The fourth proportional to 13,211.64, 19,817.58 and 5,713.80 is: 8,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.64 : 19,817.58 = 5,713.80 : x
  2. Step 2: Convert to fraction form
    13,211.64/19,817.58 = 5,713.80/x
  3. Step 3: Cross multiply
    13,211.64x = 19,817.58 × 5,713.80
  4. Step 4: Simplify right side
    13,211.64x = 113,233,688.60
  5. Step 5: Solve for x
    x = 113,233,688.60/13,211.64
  6. Step 6: Final answer
    x = 8,570.75

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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.