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Finding the Fourth Proportional to 21,180.84, 31,774.78 and 7,326.60

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Solution

The fourth proportional to 21,180.84, 31,774.78 and 7,326.60 is: 10,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.84 : 31,774.78 = 7,326.60 : x
  2. Step 2: Convert to fraction form
    21,180.84/31,774.78 = 7,326.60/x
  3. Step 3: Cross multiply
    21,180.84x = 31,774.78 × 7,326.60
  4. Step 4: Simplify right side
    21,180.84x = 232,801,103.15
  5. Step 5: Solve for x
    x = 232,801,103.15/21,180.84
  6. Step 6: Final answer
    x = 10,991.12

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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.