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Finding the Fourth Proportional to 26,604.81, 39,896.82 and 11,616.50

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Solution

The fourth proportional to 26,604.81, 39,896.82 and 11,616.50 is: 17,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604.81 : 39,896.82 = 11,616.50 : x
  2. Step 2: Convert to fraction form
    26,604.81/39,896.82 = 11,616.50/x
  3. Step 3: Cross multiply
    26,604.81x = 39,896.82 × 11,616.50
  4. Step 4: Simplify right side
    26,604.81x = 463,461,509.27
  5. Step 5: Solve for x
    x = 463,461,509.27/26,604.81
  6. Step 6: Final answer
    x = 17,420.21

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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.