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Finding the Fourth Proportional to 35,207.60, 52,812 and 11,834.24

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Solution

The fourth proportional to 35,207.60, 52,812 and 11,834.24 is: 17,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.60 : 52,812 = 11,834.24 : x
  2. Step 2: Convert to fraction form
    35,207.60/52,812 = 11,834.24/x
  3. Step 3: Cross multiply
    35,207.60x = 52,812 × 11,834.24
  4. Step 4: Simplify right side
    35,207.60x = 624,989,882.88
  5. Step 5: Solve for x
    x = 624,989,882.88/35,207.60
  6. Step 6: Final answer
    x = 17,751.56

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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.