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Finding the Fourth Proportional to 20,854.74, 28,773.81 and 11,899.02

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Solution

The fourth proportional to 20,854.74, 28,773.81 and 11,899.02 is: 16,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.74 : 28,773.81 = 11,899.02 : x
  2. Step 2: Convert to fraction form
    20,854.74/28,773.81 = 11,899.02/x
  3. Step 3: Cross multiply
    20,854.74x = 28,773.81 × 11,899.02
  4. Step 4: Simplify right side
    20,854.74x = 342,380,140.67
  5. Step 5: Solve for x
    x = 342,380,140.67/20,854.74
  6. Step 6: Final answer
    x = 16,417.38

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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.