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Finding the Fourth Proportional to 21,832.56, 32,748.84 and 5,416.56

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Solution

The fourth proportional to 21,832.56, 32,748.84 and 5,416.56 is: 8,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.56 : 32,748.84 = 5,416.56 : x
  2. Step 2: Convert to fraction form
    21,832.56/32,748.84 = 5,416.56/x
  3. Step 3: Cross multiply
    21,832.56x = 32,748.84 × 5,416.56
  4. Step 4: Simplify right side
    21,832.56x = 177,386,056.79
  5. Step 5: Solve for x
    x = 177,386,056.79/21,832.56
  6. Step 6: Final answer
    x = 8,124.84

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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.