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Finding the Fourth Proportional to 26,916.40, 40,367.40 and 9,384.40

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Solution

The fourth proportional to 26,916.40, 40,367.40 and 9,384.40 is: 14,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916.40 : 40,367.40 = 9,384.40 : x
  2. Step 2: Convert to fraction form
    26,916.40/40,367.40 = 9,384.40/x
  3. Step 3: Cross multiply
    26,916.40x = 40,367.40 × 9,384.40
  4. Step 4: Simplify right side
    26,916.40x = 378,823,828.56
  5. Step 5: Solve for x
    x = 378,823,828.56/26,916.40
  6. Step 6: Final answer
    x = 14,074.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.