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Finding the Fourth Proportional to 17,689.37, 24,410.36 and 9,730.31

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Solution

The fourth proportional to 17,689.37, 24,410.36 and 9,730.31 is: 13,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.37 : 24,410.36 = 9,730.31 : x
  2. Step 2: Convert to fraction form
    17,689.37/24,410.36 = 9,730.31/x
  3. Step 3: Cross multiply
    17,689.37x = 24,410.36 × 9,730.31
  4. Step 4: Simplify right side
    17,689.37x = 237,520,199.31
  5. Step 5: Solve for x
    x = 237,520,199.31/17,689.37
  6. Step 6: Final answer
    x = 13,427.29

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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.