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Finding the Fourth Proportional to 15,481.40, 21,364.38 and 8,407.88

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Solution

The fourth proportional to 15,481.40, 21,364.38 and 8,407.88 is: 11,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481.40 : 21,364.38 = 8,407.88 : x
  2. Step 2: Convert to fraction form
    15,481.40/21,364.38 = 8,407.88/x
  3. Step 3: Cross multiply
    15,481.40x = 21,364.38 × 8,407.88
  4. Step 4: Simplify right side
    15,481.40x = 179,629,143.31
  5. Step 5: Solve for x
    x = 179,629,143.31/15,481.40
  6. Step 6: Final answer
    x = 11,602.90

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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.