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Finding the Fourth Proportional to 17,596.20, 24,282.60 and 9,638.40

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Solution

The fourth proportional to 17,596.20, 24,282.60 and 9,638.40 is: 13,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.20 : 24,282.60 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    17,596.20/24,282.60 = 9,638.40/x
  3. Step 3: Cross multiply
    17,596.20x = 24,282.60 × 9,638.40
  4. Step 4: Simplify right side
    17,596.20x = 234,045,411.84
  5. Step 5: Solve for x
    x = 234,045,411.84/17,596.20
  6. Step 6: Final answer
    x = 13,300.91

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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.