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Finding the Fourth Proportional to 21,832.64, 32,750.08 and 6,252.56

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Solution

The fourth proportional to 21,832.64, 32,750.08 and 6,252.56 is: 9,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.64 : 32,750.08 = 6,252.56 : x
  2. Step 2: Convert to fraction form
    21,832.64/32,750.08 = 6,252.56/x
  3. Step 3: Cross multiply
    21,832.64x = 32,750.08 × 6,252.56
  4. Step 4: Simplify right side
    21,832.64x = 204,771,840.20
  5. Step 5: Solve for x
    x = 204,771,840.20/21,832.64
  6. Step 6: Final answer
    x = 9,379.16

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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.