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Finding the Fourth Proportional to 13,764.38, 18,994.36 and 7,476.76

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Solution

The fourth proportional to 13,764.38, 18,994.36 and 7,476.76 is: 10,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.38 : 18,994.36 = 7,476.76 : x
  2. Step 2: Convert to fraction form
    13,764.38/18,994.36 = 7,476.76/x
  3. Step 3: Cross multiply
    13,764.38x = 18,994.36 × 7,476.76
  4. Step 4: Simplify right side
    13,764.38x = 142,016,138.72
  5. Step 5: Solve for x
    x = 142,016,138.72/13,764.38
  6. Step 6: Final answer
    x = 10,317.66

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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.