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Finding the Fourth Proportional to 15,481.50, 21,357.20 and 9,511

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Solution

The fourth proportional to 15,481.50, 21,357.20 and 9,511 is: 13,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481.50 : 21,357.20 = 9,511 : x
  2. Step 2: Convert to fraction form
    15,481.50/21,357.20 = 9,511/x
  3. Step 3: Cross multiply
    15,481.50x = 21,357.20 × 9,511
  4. Step 4: Simplify right side
    15,481.50x = 203,128,329.20
  5. Step 5: Solve for x
    x = 203,128,329.20/15,481.50
  6. Step 6: Final answer
    x = 13,120.71

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