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Finding the Fourth Proportional to 13,574.89, 20,361.58 and 3,713.45

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Solution

The fourth proportional to 13,574.89, 20,361.58 and 3,713.45 is: 5,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.89 : 20,361.58 = 3,713.45 : x
  2. Step 2: Convert to fraction form
    13,574.89/20,361.58 = 3,713.45/x
  3. Step 3: Cross multiply
    13,574.89x = 20,361.58 × 3,713.45
  4. Step 4: Simplify right side
    13,574.89x = 75,611,598.16
  5. Step 5: Solve for x
    x = 75,611,598.16/13,574.89
  6. Step 6: Final answer
    x = 5,569.96

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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.