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Finding the Fourth Proportional to 26,461.58, 36,517.39 and 14,526

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Solution

The fourth proportional to 26,461.58, 36,517.39 and 14,526 is: 20,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,461.58 : 36,517.39 = 14,526 : x
  2. Step 2: Convert to fraction form
    26,461.58/36,517.39 = 14,526/x
  3. Step 3: Cross multiply
    26,461.58x = 36,517.39 × 14,526
  4. Step 4: Simplify right side
    26,461.58x = 530,451,570.83
  5. Step 5: Solve for x
    x = 530,451,570.83/26,461.58
  6. Step 6: Final answer
    x = 20,046.11

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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.