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Finding the Fourth Proportional to 26,435.20, 36,461.45 and 22,450

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Solution

The fourth proportional to 26,435.20, 36,461.45 and 22,450 is: 30,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435.20 : 36,461.45 = 22,450 : x
  2. Step 2: Convert to fraction form
    26,435.20/36,461.45 = 22,450/x
  3. Step 3: Cross multiply
    26,435.20x = 36,461.45 × 22,450
  4. Step 4: Simplify right side
    26,435.20x = 818,559,552.50
  5. Step 5: Solve for x
    x = 818,559,552.50/26,435.20
  6. Step 6: Final answer
    x = 30,964.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.