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Finding the Fourth Proportional to 11,900.34, 17,817.23 and 8,969.46

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Solution

The fourth proportional to 11,900.34, 17,817.23 and 8,969.46 is: 13,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.34 : 17,817.23 = 8,969.46 : x
  2. Step 2: Convert to fraction form
    11,900.34/17,817.23 = 8,969.46/x
  3. Step 3: Cross multiply
    11,900.34x = 17,817.23 × 8,969.46
  4. Step 4: Simplify right side
    11,900.34x = 159,810,931.80
  5. Step 5: Solve for x
    x = 159,810,931.80/11,900.34
  6. Step 6: Final answer
    x = 13,429.11

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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.