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Finding the Fourth Proportional to 14,765.58, 20,359.62 and 9,728.19

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Solution

The fourth proportional to 14,765.58, 20,359.62 and 9,728.19 is: 13,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.58 : 20,359.62 = 9,728.19 : x
  2. Step 2: Convert to fraction form
    14,765.58/20,359.62 = 9,728.19/x
  3. Step 3: Cross multiply
    14,765.58x = 20,359.62 × 9,728.19
  4. Step 4: Simplify right side
    14,765.58x = 198,062,251.69
  5. Step 5: Solve for x
    x = 198,062,251.69/14,765.58
  6. Step 6: Final answer
    x = 13,413.78

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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.