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Finding the Fourth Proportional to 20,641.12, 28,485.75 and 11,689

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Solution

The fourth proportional to 20,641.12, 28,485.75 and 11,689 is: 16,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.12 : 28,485.75 = 11,689 : x
  2. Step 2: Convert to fraction form
    20,641.12/28,485.75 = 11,689/x
  3. Step 3: Cross multiply
    20,641.12x = 28,485.75 × 11,689
  4. Step 4: Simplify right side
    20,641.12x = 332,969,931.75
  5. Step 5: Solve for x
    x = 332,969,931.75/20,641.12
  6. Step 6: Final answer
    x = 16,131.39

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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.