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Finding the Fourth Proportional to 21,192.84, 31,779 and 12,768.84

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Solution

The fourth proportional to 21,192.84, 31,779 and 12,768.84 is: 19,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,192.84 : 31,779 = 12,768.84 : x
  2. Step 2: Convert to fraction form
    21,192.84/31,779 = 12,768.84/x
  3. Step 3: Cross multiply
    21,192.84x = 31,779 × 12,768.84
  4. Step 4: Simplify right side
    21,192.84x = 405,780,966.36
  5. Step 5: Solve for x
    x = 405,780,966.36/21,192.84
  6. Step 6: Final answer
    x = 19,147.08

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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.