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Finding the Fourth Proportional to 26,412.80, 36,448.32 and 14,474

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Solution

The fourth proportional to 26,412.80, 36,448.32 and 14,474 is: 19,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412.80 : 36,448.32 = 14,474 : x
  2. Step 2: Convert to fraction form
    26,412.80/36,448.32 = 14,474/x
  3. Step 3: Cross multiply
    26,412.80x = 36,448.32 × 14,474
  4. Step 4: Simplify right side
    26,412.80x = 527,552,983.68
  5. Step 5: Solve for x
    x = 527,552,983.68/26,412.80
  6. Step 6: Final answer
    x = 19,973.38

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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.