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Finding the Fourth Proportional to 13,770.56, 18,994.86 and 12,006.38

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Solution

The fourth proportional to 13,770.56, 18,994.86 and 12,006.38 is: 16,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.56 : 18,994.86 = 12,006.38 : x
  2. Step 2: Convert to fraction form
    13,770.56/18,994.86 = 12,006.38/x
  3. Step 3: Cross multiply
    13,770.56x = 18,994.86 × 12,006.38
  4. Step 4: Simplify right side
    13,770.56x = 228,059,507.21
  5. Step 5: Solve for x
    x = 228,059,507.21/13,770.56
  6. Step 6: Final answer
    x = 16,561.38

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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.