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Finding the Fourth Proportional to 13,622.98, 20,406.12 and 13,153

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Solution

The fourth proportional to 13,622.98, 20,406.12 and 13,153 is: 19,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622.98 : 20,406.12 = 13,153 : x
  2. Step 2: Convert to fraction form
    13,622.98/20,406.12 = 13,153/x
  3. Step 3: Cross multiply
    13,622.98x = 20,406.12 × 13,153
  4. Step 4: Simplify right side
    13,622.98x = 268,401,696.36
  5. Step 5: Solve for x
    x = 268,401,696.36/13,622.98
  6. Step 6: Final answer
    x = 19,702.13

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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.