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Finding the Fourth Proportional to 17,604.34, 24,293.57 and 9,646.18

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Solution

The fourth proportional to 17,604.34, 24,293.57 and 9,646.18 is: 13,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.34 : 24,293.57 = 9,646.18 : x
  2. Step 2: Convert to fraction form
    17,604.34/24,293.57 = 9,646.18/x
  3. Step 3: Cross multiply
    17,604.34x = 24,293.57 × 9,646.18
  4. Step 4: Simplify right side
    17,604.34x = 234,340,149.06
  5. Step 5: Solve for x
    x = 234,340,149.06/17,604.34
  6. Step 6: Final answer
    x = 13,311.50

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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.