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Finding the Fourth Proportional to 18,952.06, 28,428.27 and 7,262.50

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Solution

The fourth proportional to 18,952.06, 28,428.27 and 7,262.50 is: 10,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,952.06 : 28,428.27 = 7,262.50 : x
  2. Step 2: Convert to fraction form
    18,952.06/28,428.27 = 7,262.50/x
  3. Step 3: Cross multiply
    18,952.06x = 28,428.27 × 7,262.50
  4. Step 4: Simplify right side
    18,952.06x = 206,460,310.88
  5. Step 5: Solve for x
    x = 206,460,310.88/18,952.06
  6. Step 6: Final answer
    x = 10,893.82

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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.