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Finding the Fourth Proportional to 18,916.50, 26,105.37 and 10,419.24

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Solution

The fourth proportional to 18,916.50, 26,105.37 and 10,419.24 is: 14,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916.50 : 26,105.37 = 10,419.24 : x
  2. Step 2: Convert to fraction form
    18,916.50/26,105.37 = 10,419.24/x
  3. Step 3: Cross multiply
    18,916.50x = 26,105.37 × 10,419.24
  4. Step 4: Simplify right side
    18,916.50x = 271,998,115.32
  5. Step 5: Solve for x
    x = 271,998,115.32/18,916.50
  6. Step 6: Final answer
    x = 14,378.88

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1.5x scale

Why These Related Problems?

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