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Finding the Fourth Proportional to 17,687.49, 24,409.34 and 9,730.05

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Solution

The fourth proportional to 17,687.49, 24,409.34 and 9,730.05 is: 13,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.49 : 24,409.34 = 9,730.05 : x
  2. Step 2: Convert to fraction form
    17,687.49/24,409.34 = 9,730.05/x
  3. Step 3: Cross multiply
    17,687.49x = 24,409.34 × 9,730.05
  4. Step 4: Simplify right side
    17,687.49x = 237,504,098.67
  5. Step 5: Solve for x
    x = 237,504,098.67/17,687.49
  6. Step 6: Final answer
    x = 13,427.80

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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.