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Finding the Fourth Proportional to 17,689.44, 24,410.84 and 9,731.60

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Solution

The fourth proportional to 17,689.44, 24,410.84 and 9,731.60 is: 13,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.44 : 24,410.84 = 9,731.60 : x
  2. Step 2: Convert to fraction form
    17,689.44/24,410.84 = 9,731.60/x
  3. Step 3: Cross multiply
    17,689.44x = 24,410.84 × 9,731.60
  4. Step 4: Simplify right side
    17,689.44x = 237,556,359.83
  5. Step 5: Solve for x
    x = 237,556,359.83/17,689.44
  6. Step 6: Final answer
    x = 13,429.28

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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.