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Finding the Fourth Proportional to 13,677, 20,518.38 and 4,443.72

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Solution

The fourth proportional to 13,677, 20,518.38 and 4,443.72 is: 6,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 20,518.38 = 4,443.72 : x
  2. Step 2: Convert to fraction form
    13,677/20,518.38 = 4,443.72/x
  3. Step 3: Cross multiply
    13,677x = 20,518.38 × 4,443.72
  4. Step 4: Simplify right side
    13,677x = 91,177,935.57
  5. Step 5: Solve for x
    x = 91,177,935.57/13,677
  6. Step 6: Final answer
    x = 6,666.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.