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Finding the Fourth Proportional to 17,178.06, 25,767 and 5,488.50

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Solution

The fourth proportional to 17,178.06, 25,767 and 5,488.50 is: 8,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178.06 : 25,767 = 5,488.50 : x
  2. Step 2: Convert to fraction form
    17,178.06/25,767 = 5,488.50/x
  3. Step 3: Cross multiply
    17,178.06x = 25,767 × 5,488.50
  4. Step 4: Simplify right side
    17,178.06x = 141,422,179.50
  5. Step 5: Solve for x
    x = 141,422,179.50/17,178.06
  6. Step 6: Final answer
    x = 8,232.72

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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.