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Finding the Fourth Proportional to 26,401.80, 36,434.43 and 14,465.52

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Solution

The fourth proportional to 26,401.80, 36,434.43 and 14,465.52 is: 19,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.80 : 36,434.43 = 14,465.52 : x
  2. Step 2: Convert to fraction form
    26,401.80/36,434.43 = 14,465.52/x
  3. Step 3: Cross multiply
    26,401.80x = 36,434.43 × 14,465.52
  4. Step 4: Simplify right side
    26,401.80x = 527,042,975.85
  5. Step 5: Solve for x
    x = 527,042,975.85/26,401.80
  6. Step 6: Final answer
    x = 19,962.39

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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.