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Finding the Fourth Proportional to 22,145.72, 33,222.86 and 7,156.87

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Solution

The fourth proportional to 22,145.72, 33,222.86 and 7,156.87 is: 10,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.72 : 33,222.86 = 7,156.87 : x
  2. Step 2: Convert to fraction form
    22,145.72/33,222.86 = 7,156.87/x
  3. Step 3: Cross multiply
    22,145.72x = 33,222.86 × 7,156.87
  4. Step 4: Simplify right side
    22,145.72x = 237,771,784.92
  5. Step 5: Solve for x
    x = 237,771,784.92/22,145.72
  6. Step 6: Final answer
    x = 10,736.69

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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.