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Finding the Fourth Proportional to 14,793.81, 20,415.47 and 8,505.81

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Solution

The fourth proportional to 14,793.81, 20,415.47 and 8,505.81 is: 11,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.81 : 20,415.47 = 8,505.81 : x
  2. Step 2: Convert to fraction form
    14,793.81/20,415.47 = 8,505.81/x
  3. Step 3: Cross multiply
    14,793.81x = 20,415.47 × 8,505.81
  4. Step 4: Simplify right side
    14,793.81x = 173,650,066.35
  5. Step 5: Solve for x
    x = 173,650,066.35/14,793.81
  6. Step 6: Final answer
    x = 11,738.02

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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.