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Finding the Fourth Proportional to 26,334.28, 39,495.92 and 9,690

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Solution

The fourth proportional to 26,334.28, 39,495.92 and 9,690 is: 14,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,334.28 : 39,495.92 = 9,690 : x
  2. Step 2: Convert to fraction form
    26,334.28/39,495.92 = 9,690/x
  3. Step 3: Cross multiply
    26,334.28x = 39,495.92 × 9,690
  4. Step 4: Simplify right side
    26,334.28x = 382,715,464.80
  5. Step 5: Solve for x
    x = 382,715,464.80/26,334.28
  6. Step 6: Final answer
    x = 14,532.98

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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.