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Finding the Fourth Proportional to 21,892, 32,842.48 and 6,308.32

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Solution

The fourth proportional to 21,892, 32,842.48 and 6,308.32 is: 9,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892 : 32,842.48 = 6,308.32 : x
  2. Step 2: Convert to fraction form
    21,892/32,842.48 = 6,308.32/x
  3. Step 3: Cross multiply
    21,892x = 32,842.48 × 6,308.32
  4. Step 4: Simplify right side
    21,892x = 207,180,873.43
  5. Step 5: Solve for x
    x = 207,180,873.43/21,892
  6. Step 6: Final answer
    x = 9,463.77

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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.