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Finding the Fourth Proportional to 35,207.28, 52,816.50 and 11,828.34

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Solution

The fourth proportional to 35,207.28, 52,816.50 and 11,828.34 is: 17,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207.28 : 52,816.50 = 11,828.34 : x
  2. Step 2: Convert to fraction form
    35,207.28/52,816.50 = 11,828.34/x
  3. Step 3: Cross multiply
    35,207.28x = 52,816.50 × 11,828.34
  4. Step 4: Simplify right side
    35,207.28x = 624,731,519.61
  5. Step 5: Solve for x
    x = 624,731,519.61/35,207.28
  6. Step 6: Final answer
    x = 17,744.38

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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.