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Finding the Fourth Proportional to 21,382.44, 32,076.68 and 6,592.56

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Solution

The fourth proportional to 21,382.44, 32,076.68 and 6,592.56 is: 9,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.44 : 32,076.68 = 6,592.56 : x
  2. Step 2: Convert to fraction form
    21,382.44/32,076.68 = 6,592.56/x
  3. Step 3: Cross multiply
    21,382.44x = 32,076.68 × 6,592.56
  4. Step 4: Simplify right side
    21,382.44x = 211,467,437.50
  5. Step 5: Solve for x
    x = 211,467,437.50/21,382.44
  6. Step 6: Final answer
    x = 9,889.77

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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.