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Finding the Fourth Proportional to 15,051, 20,770.42 and 8,427

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Solution

The fourth proportional to 15,051, 20,770.42 and 8,427 is: 11,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,051 : 20,770.42 = 8,427 : x
  2. Step 2: Convert to fraction form
    15,051/20,770.42 = 8,427/x
  3. Step 3: Cross multiply
    15,051x = 20,770.42 × 8,427
  4. Step 4: Simplify right side
    15,051x = 175,032,329.34
  5. Step 5: Solve for x
    x = 175,032,329.34/15,051
  6. Step 6: Final answer
    x = 11,629.28

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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.