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Finding the Fourth Proportional to 13,641.36, 18,825 and 7,975.98

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Solution

The fourth proportional to 13,641.36, 18,825 and 7,975.98 is: 11,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.36 : 18,825 = 7,975.98 : x
  2. Step 2: Convert to fraction form
    13,641.36/18,825 = 7,975.98/x
  3. Step 3: Cross multiply
    13,641.36x = 18,825 × 7,975.98
  4. Step 4: Simplify right side
    13,641.36x = 150,147,823.50
  5. Step 5: Solve for x
    x = 150,147,823.50/13,641.36
  6. Step 6: Final answer
    x = 11,006.81

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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.