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Finding the Fourth Proportional to 18,282.72, 27,428.22 and 5,803.50

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Solution

The fourth proportional to 18,282.72, 27,428.22 and 5,803.50 is: 8,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.72 : 27,428.22 = 5,803.50 : x
  2. Step 2: Convert to fraction form
    18,282.72/27,428.22 = 5,803.50/x
  3. Step 3: Cross multiply
    18,282.72x = 27,428.22 × 5,803.50
  4. Step 4: Simplify right side
    18,282.72x = 159,179,674.77
  5. Step 5: Solve for x
    x = 159,179,674.77/18,282.72
  6. Step 6: Final answer
    x = 8,706.56

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Why These Related Problems?

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