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Finding the Fourth Proportional to 14,641.20, 20,204.61 and 7,926.77

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Solution

The fourth proportional to 14,641.20, 20,204.61 and 7,926.77 is: 10,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.20 : 20,204.61 = 7,926.77 : x
  2. Step 2: Convert to fraction form
    14,641.20/20,204.61 = 7,926.77/x
  3. Step 3: Cross multiply
    14,641.20x = 20,204.61 × 7,926.77
  4. Step 4: Simplify right side
    14,641.20x = 160,157,361.78
  5. Step 5: Solve for x
    x = 160,157,361.78/14,641.20
  6. Step 6: Final answer
    x = 10,938.81

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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.