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Finding the Fourth Proportional to 21,971.84, 32,961.06 and 6,387.44

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Solution

The fourth proportional to 21,971.84, 32,961.06 and 6,387.44 is: 9,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.84 : 32,961.06 = 6,387.44 : x
  2. Step 2: Convert to fraction form
    21,971.84/32,961.06 = 6,387.44/x
  3. Step 3: Cross multiply
    21,971.84x = 32,961.06 × 6,387.44
  4. Step 4: Simplify right side
    21,971.84x = 210,536,793.09
  5. Step 5: Solve for x
    x = 210,536,793.09/21,971.84
  6. Step 6: Final answer
    x = 9,582.12

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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.