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Finding the Fourth Proportional to 13,732.34, 20,602.35 and 3,871.67

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Solution

The fourth proportional to 13,732.34, 20,602.35 and 3,871.67 is: 5,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.34 : 20,602.35 = 3,871.67 : x
  2. Step 2: Convert to fraction form
    13,732.34/20,602.35 = 3,871.67/x
  3. Step 3: Cross multiply
    13,732.34x = 20,602.35 × 3,871.67
  4. Step 4: Simplify right side
    13,732.34x = 79,765,397.41
  5. Step 5: Solve for x
    x = 79,765,397.41/13,732.34
  6. Step 6: Final answer
    x = 5,808.58

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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.