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Finding the Fourth Proportional to 13,602, 20,401.20 and 5,706.12

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Solution

The fourth proportional to 13,602, 20,401.20 and 5,706.12 is: 8,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602 : 20,401.20 = 5,706.12 : x
  2. Step 2: Convert to fraction form
    13,602/20,401.20 = 5,706.12/x
  3. Step 3: Cross multiply
    13,602x = 20,401.20 × 5,706.12
  4. Step 4: Simplify right side
    13,602x = 116,411,695.34
  5. Step 5: Solve for x
    x = 116,411,695.34/13,602
  6. Step 6: Final answer
    x = 8,558.42

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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.