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Finding the Fourth Proportional to 17,984.54, 26,951.70 and 9,200.90

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Solution

The fourth proportional to 17,984.54, 26,951.70 and 9,200.90 is: 13,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.54 : 26,951.70 = 9,200.90 : x
  2. Step 2: Convert to fraction form
    17,984.54/26,951.70 = 9,200.90/x
  3. Step 3: Cross multiply
    17,984.54x = 26,951.70 × 9,200.90
  4. Step 4: Simplify right side
    17,984.54x = 247,979,896.53
  5. Step 5: Solve for x
    x = 247,979,896.53/17,984.54
  6. Step 6: Final answer
    x = 13,788.50

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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.