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Finding the Fourth Proportional to 12,134.86, 16,740.51 and 8,772.34

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Solution

The fourth proportional to 12,134.86, 16,740.51 and 8,772.34 is: 12,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.86 : 16,740.51 = 8,772.34 : x
  2. Step 2: Convert to fraction form
    12,134.86/16,740.51 = 8,772.34/x
  3. Step 3: Cross multiply
    12,134.86x = 16,740.51 × 8,772.34
  4. Step 4: Simplify right side
    12,134.86x = 146,853,445.49
  5. Step 5: Solve for x
    x = 146,853,445.49/12,134.86
  6. Step 6: Final answer
    x = 12,101.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.