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Finding the Fourth Proportional to 14,786.55, 20,405.17 and 8,413.00

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Solution

The fourth proportional to 14,786.55, 20,405.17 and 8,413.00 is: 11,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.55 : 20,405.17 = 8,413.00 : x
  2. Step 2: Convert to fraction form
    14,786.55/20,405.17 = 8,413.00/x
  3. Step 3: Cross multiply
    14,786.55x = 20,405.17 × 8,413.00
  4. Step 4: Simplify right side
    14,786.55x = 171,668,789.76
  5. Step 5: Solve for x
    x = 171,668,789.76/14,786.55
  6. Step 6: Final answer
    x = 11,609.79

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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.