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Finding the Fourth Proportional to 21,193.56, 31,806.22 and 7,878.84

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Solution

The fourth proportional to 21,193.56, 31,806.22 and 7,878.84 is: 11,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.56 : 31,806.22 = 7,878.84 : x
  2. Step 2: Convert to fraction form
    21,193.56/31,806.22 = 7,878.84/x
  3. Step 3: Cross multiply
    21,193.56x = 31,806.22 × 7,878.84
  4. Step 4: Simplify right side
    21,193.56x = 250,596,118.38
  5. Step 5: Solve for x
    x = 250,596,118.38/21,193.56
  6. Step 6: Final answer
    x = 11,824.16

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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.