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Finding the Fourth Proportional to 17,604.68, 24,293.46 and 9,645.32

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Solution

The fourth proportional to 17,604.68, 24,293.46 and 9,645.32 is: 13,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.68 : 24,293.46 = 9,645.32 : x
  2. Step 2: Convert to fraction form
    17,604.68/24,293.46 = 9,645.32/x
  3. Step 3: Cross multiply
    17,604.68x = 24,293.46 × 9,645.32
  4. Step 4: Simplify right side
    17,604.68x = 234,318,195.61
  5. Step 5: Solve for x
    x = 234,318,195.61/17,604.68
  6. Step 6: Final answer
    x = 13,309.99

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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.