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Finding the Fourth Proportional to 21,546.84, 32,319.32 and 6,755.42

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Solution

The fourth proportional to 21,546.84, 32,319.32 and 6,755.42 is: 10,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.84 : 32,319.32 = 6,755.42 : x
  2. Step 2: Convert to fraction form
    21,546.84/32,319.32 = 6,755.42/x
  3. Step 3: Cross multiply
    21,546.84x = 32,319.32 × 6,755.42
  4. Step 4: Simplify right side
    21,546.84x = 218,330,580.71
  5. Step 5: Solve for x
    x = 218,330,580.71/21,546.84
  6. Step 6: Final answer
    x = 10,132.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.