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Finding the Fourth Proportional to 15,142.28, 20,916.63 and 11,649.15

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Solution

The fourth proportional to 15,142.28, 20,916.63 and 11,649.15 is: 16,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.28 : 20,916.63 = 11,649.15 : x
  2. Step 2: Convert to fraction form
    15,142.28/20,916.63 = 11,649.15/x
  3. Step 3: Cross multiply
    15,142.28x = 20,916.63 × 11,649.15
  4. Step 4: Simplify right side
    15,142.28x = 243,660,960.36
  5. Step 5: Solve for x
    x = 243,660,960.36/15,142.28
  6. Step 6: Final answer
    x = 16,091.44

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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.