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Finding the Fourth Proportional to 20,760.96, 28,653.84 and 12,378

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Solution

The fourth proportional to 20,760.96, 28,653.84 and 12,378 is: 17,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.96 : 28,653.84 = 12,378 : x
  2. Step 2: Convert to fraction form
    20,760.96/28,653.84 = 12,378/x
  3. Step 3: Cross multiply
    20,760.96x = 28,653.84 × 12,378
  4. Step 4: Simplify right side
    20,760.96x = 354,677,231.52
  5. Step 5: Solve for x
    x = 354,677,231.52/20,760.96
  6. Step 6: Final answer
    x = 17,083.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.