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Finding the Fourth Proportional to 23,697.90, 35,551.80 and 7,902.30

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Solution

The fourth proportional to 23,697.90, 35,551.80 and 7,902.30 is: 11,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.90 : 35,551.80 = 7,902.30 : x
  2. Step 2: Convert to fraction form
    23,697.90/35,551.80 = 7,902.30/x
  3. Step 3: Cross multiply
    23,697.90x = 35,551.80 × 7,902.30
  4. Step 4: Simplify right side
    23,697.90x = 280,940,989.14
  5. Step 5: Solve for x
    x = 280,940,989.14/23,697.90
  6. Step 6: Final answer
    x = 11,855.10

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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.