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Finding the Fourth Proportional to 20,761.96, 28,655.22 and 12,379

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Solution

The fourth proportional to 20,761.96, 28,655.22 and 12,379 is: 17,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.96 : 28,655.22 = 12,379 : x
  2. Step 2: Convert to fraction form
    20,761.96/28,655.22 = 12,379/x
  3. Step 3: Cross multiply
    20,761.96x = 28,655.22 × 12,379
  4. Step 4: Simplify right side
    20,761.96x = 354,722,968.38
  5. Step 5: Solve for x
    x = 354,722,968.38/20,761.96
  6. Step 6: Final answer
    x = 17,085.24

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Why These Related Problems?

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