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Finding the Fourth Proportional to 16,436, 22,683.60 and 9,812

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Solution

The fourth proportional to 16,436, 22,683.60 and 9,812 is: 13,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436 : 22,683.60 = 9,812 : x
  2. Step 2: Convert to fraction form
    16,436/22,683.60 = 9,812/x
  3. Step 3: Cross multiply
    16,436x = 22,683.60 × 9,812
  4. Step 4: Simplify right side
    16,436x = 222,571,483.20
  5. Step 5: Solve for x
    x = 222,571,483.20/16,436
  6. Step 6: Final answer
    x = 13,541.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.