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Finding the Fourth Proportional to 23,697.80, 35,537.10 and 8,107.40

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Solution

The fourth proportional to 23,697.80, 35,537.10 and 8,107.40 is: 12,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.80 : 35,537.10 = 8,107.40 : x
  2. Step 2: Convert to fraction form
    23,697.80/35,537.10 = 8,107.40/x
  3. Step 3: Cross multiply
    23,697.80x = 35,537.10 × 8,107.40
  4. Step 4: Simplify right side
    23,697.80x = 288,113,484.54
  5. Step 5: Solve for x
    x = 288,113,484.54/23,697.80
  6. Step 6: Final answer
    x = 12,157.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.