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Finding the Fourth Proportional to 21,568.56, 32,356.11 and 6,776.09

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Solution

The fourth proportional to 21,568.56, 32,356.11 and 6,776.09 is: 10,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.56 : 32,356.11 = 6,776.09 : x
  2. Step 2: Convert to fraction form
    21,568.56/32,356.11 = 6,776.09/x
  3. Step 3: Cross multiply
    21,568.56x = 32,356.11 × 6,776.09
  4. Step 4: Simplify right side
    21,568.56x = 219,247,860.26
  5. Step 5: Solve for x
    x = 219,247,860.26/21,568.56
  6. Step 6: Final answer
    x = 10,165.16

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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.