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Finding the Fourth Proportional to 13,713.16, 20,573.61 and 3,852.53

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Solution

The fourth proportional to 13,713.16, 20,573.61 and 3,852.53 is: 5,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.16 : 20,573.61 = 3,852.53 : x
  2. Step 2: Convert to fraction form
    13,713.16/20,573.61 = 3,852.53/x
  3. Step 3: Cross multiply
    13,713.16x = 20,573.61 × 3,852.53
  4. Step 4: Simplify right side
    13,713.16x = 79,260,361.31
  5. Step 5: Solve for x
    x = 79,260,361.31/13,713.16
  6. Step 6: Final answer
    x = 5,779.88

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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.