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Finding the Fourth Proportional to 12,436, 18,651.32 and 4,114.04

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Solution

The fourth proportional to 12,436, 18,651.32 and 4,114.04 is: 6,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436 : 18,651.32 = 4,114.04 : x
  2. Step 2: Convert to fraction form
    12,436/18,651.32 = 4,114.04/x
  3. Step 3: Cross multiply
    12,436x = 18,651.32 × 4,114.04
  4. Step 4: Simplify right side
    12,436x = 76,732,276.53
  5. Step 5: Solve for x
    x = 76,732,276.53/12,436
  6. Step 6: Final answer
    x = 6,170.17

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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.