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Finding the Fourth Proportional to 12,133.86, 16,739.13 and 8,771.34

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Solution

The fourth proportional to 12,133.86, 16,739.13 and 8,771.34 is: 12,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.86 : 16,739.13 = 8,771.34 : x
  2. Step 2: Convert to fraction form
    12,133.86/16,739.13 = 8,771.34/x
  3. Step 3: Cross multiply
    12,133.86x = 16,739.13 × 8,771.34
  4. Step 4: Simplify right side
    12,133.86x = 146,824,600.53
  5. Step 5: Solve for x
    x = 146,824,600.53/12,133.86
  6. Step 6: Final answer
    x = 12,100.40

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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.