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Finding the Fourth Proportional to 29,451.28, 40,643.16 and 16,876

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Solution

The fourth proportional to 29,451.28, 40,643.16 and 16,876 is: 23,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451.28 : 40,643.16 = 16,876 : x
  2. Step 2: Convert to fraction form
    29,451.28/40,643.16 = 16,876/x
  3. Step 3: Cross multiply
    29,451.28x = 40,643.16 × 16,876
  4. Step 4: Simplify right side
    29,451.28x = 685,893,968.16
  5. Step 5: Solve for x
    x = 685,893,968.16/29,451.28
  6. Step 6: Final answer
    x = 23,289.11

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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.