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Finding the Fourth Proportional to 26,460.88, 36,515.94 and 14,524

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Solution

The fourth proportional to 26,460.88, 36,515.94 and 14,524 is: 20,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460.88 : 36,515.94 = 14,524 : x
  2. Step 2: Convert to fraction form
    26,460.88/36,515.94 = 14,524/x
  3. Step 3: Cross multiply
    26,460.88x = 36,515.94 × 14,524
  4. Step 4: Simplify right side
    26,460.88x = 530,357,512.56
  5. Step 5: Solve for x
    x = 530,357,512.56/26,460.88
  6. Step 6: Final answer
    x = 20,043.08

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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.