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Finding the Fourth Proportional to 17,829.44, 26,737.68 and 9,072.08

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Solution

The fourth proportional to 17,829.44, 26,737.68 and 9,072.08 is: 13,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.44 : 26,737.68 = 9,072.08 : x
  2. Step 2: Convert to fraction form
    17,829.44/26,737.68 = 9,072.08/x
  3. Step 3: Cross multiply
    17,829.44x = 26,737.68 × 9,072.08
  4. Step 4: Simplify right side
    17,829.44x = 242,566,371.97
  5. Step 5: Solve for x
    x = 242,566,371.97/17,829.44
  6. Step 6: Final answer
    x = 13,604.82

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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.