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Finding the Fourth Proportional to 13,173.54, 18,178.86 and 7,205.28

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Solution

The fourth proportional to 13,173.54, 18,178.86 and 7,205.28 is: 9,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.54 : 18,178.86 = 7,205.28 : x
  2. Step 2: Convert to fraction form
    13,173.54/18,178.86 = 7,205.28/x
  3. Step 3: Cross multiply
    13,173.54x = 18,178.86 × 7,205.28
  4. Step 4: Simplify right side
    13,173.54x = 130,983,776.38
  5. Step 5: Solve for x
    x = 130,983,776.38/13,173.54
  6. Step 6: Final answer
    x = 9,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.