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Finding the Fourth Proportional to 13,765.95, 20,639.61 and 5,443.74

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Solution

The fourth proportional to 13,765.95, 20,639.61 and 5,443.74 is: 8,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.95 : 20,639.61 = 5,443.74 : x
  2. Step 2: Convert to fraction form
    13,765.95/20,639.61 = 5,443.74/x
  3. Step 3: Cross multiply
    13,765.95x = 20,639.61 × 5,443.74
  4. Step 4: Simplify right side
    13,765.95x = 112,356,670.54
  5. Step 5: Solve for x
    x = 112,356,670.54/13,765.95
  6. Step 6: Final answer
    x = 8,161.93

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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.