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Finding the Fourth Proportional to 11,895.67, 17,810.65 and 8,965.09

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Solution

The fourth proportional to 11,895.67, 17,810.65 and 8,965.09 is: 13,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.67 : 17,810.65 = 8,965.09 : x
  2. Step 2: Convert to fraction form
    11,895.67/17,810.65 = 8,965.09/x
  3. Step 3: Cross multiply
    11,895.67x = 17,810.65 × 8,965.09
  4. Step 4: Simplify right side
    11,895.67x = 159,674,080.21
  5. Step 5: Solve for x
    x = 159,674,080.21/11,895.67
  6. Step 6: Final answer
    x = 13,422.87

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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.