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Finding the Fourth Proportional to 22,637.55, 33,956.76 and 7,846.95

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Solution

The fourth proportional to 22,637.55, 33,956.76 and 7,846.95 is: 11,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.55 : 33,956.76 = 7,846.95 : x
  2. Step 2: Convert to fraction form
    22,637.55/33,956.76 = 7,846.95/x
  3. Step 3: Cross multiply
    22,637.55x = 33,956.76 × 7,846.95
  4. Step 4: Simplify right side
    22,637.55x = 266,456,997.88
  5. Step 5: Solve for x
    x = 266,456,997.88/22,637.55
  6. Step 6: Final answer
    x = 11,770.58

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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.