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Finding the Fourth Proportional to 22,622.88, 33,933.50 and 9,475.76

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Solution

The fourth proportional to 22,622.88, 33,933.50 and 9,475.76 is: 14,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.88 : 33,933.50 = 9,475.76 : x
  2. Step 2: Convert to fraction form
    22,622.88/33,933.50 = 9,475.76/x
  3. Step 3: Cross multiply
    22,622.88x = 33,933.50 × 9,475.76
  4. Step 4: Simplify right side
    22,622.88x = 321,545,701.96
  5. Step 5: Solve for x
    x = 321,545,701.96/22,622.88
  6. Step 6: Final answer
    x = 14,213.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.