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Finding the Fourth Proportional to 17,772.27, 26,639.87 and 7,237.71

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Solution

The fourth proportional to 17,772.27, 26,639.87 and 7,237.71 is: 10,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.27 : 26,639.87 = 7,237.71 : x
  2. Step 2: Convert to fraction form
    17,772.27/26,639.87 = 7,237.71/x
  3. Step 3: Cross multiply
    17,772.27x = 26,639.87 × 7,237.71
  4. Step 4: Simplify right side
    17,772.27x = 192,811,653.50
  5. Step 5: Solve for x
    x = 192,811,653.50/17,772.27
  6. Step 6: Final answer
    x = 10,849.02

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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.