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Finding the Fourth Proportional to 13,597.12, 18,763.90 and 7,628.66

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Solution

The fourth proportional to 13,597.12, 18,763.90 and 7,628.66 is: 10,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.12 : 18,763.90 = 7,628.66 : x
  2. Step 2: Convert to fraction form
    13,597.12/18,763.90 = 7,628.66/x
  3. Step 3: Cross multiply
    13,597.12x = 18,763.90 × 7,628.66
  4. Step 4: Simplify right side
    13,597.12x = 143,143,413.37
  5. Step 5: Solve for x
    x = 143,143,413.37/13,597.12
  6. Step 6: Final answer
    x = 10,527.48

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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.