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Finding the Fourth Proportional to 17,729.87, 24,467.14 and 9,771.92

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Solution

The fourth proportional to 17,729.87, 24,467.14 and 9,771.92 is: 13,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.87 : 24,467.14 = 9,771.92 : x
  2. Step 2: Convert to fraction form
    17,729.87/24,467.14 = 9,771.92/x
  3. Step 3: Cross multiply
    17,729.87x = 24,467.14 × 9,771.92
  4. Step 4: Simplify right side
    17,729.87x = 239,090,916.34
  5. Step 5: Solve for x
    x = 239,090,916.34/17,729.87
  6. Step 6: Final answer
    x = 13,485.21

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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.