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Finding the Fourth Proportional to 26,383.87, 36,410.57 and 14,448.34

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Solution

The fourth proportional to 26,383.87, 36,410.57 and 14,448.34 is: 19,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.87 : 36,410.57 = 14,448.34 : x
  2. Step 2: Convert to fraction form
    26,383.87/36,410.57 = 14,448.34/x
  3. Step 3: Cross multiply
    26,383.87x = 36,410.57 × 14,448.34
  4. Step 4: Simplify right side
    26,383.87x = 526,072,294.95
  5. Step 5: Solve for x
    x = 526,072,294.95/26,383.87
  6. Step 6: Final answer
    x = 19,939.16

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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.