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Finding the Fourth Proportional to 26,477.09, 36,545 and 16,399.49

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Solution

The fourth proportional to 26,477.09, 36,545 and 16,399.49 is: 22,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,477.09 : 36,545 = 16,399.49 : x
  2. Step 2: Convert to fraction form
    26,477.09/36,545 = 16,399.49/x
  3. Step 3: Cross multiply
    26,477.09x = 36,545 × 16,399.49
  4. Step 4: Simplify right side
    26,477.09x = 599,319,362.05
  5. Step 5: Solve for x
    x = 599,319,362.05/26,477.09
  6. Step 6: Final answer
    x = 22,635.39

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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.