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Finding the Fourth Proportional to 35,011.56, 52,537.32 and 12,822

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Solution

The fourth proportional to 35,011.56, 52,537.32 and 12,822 is: 19,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,011.56 : 52,537.32 = 12,822 : x
  2. Step 2: Convert to fraction form
    35,011.56/52,537.32 = 12,822/x
  3. Step 3: Cross multiply
    35,011.56x = 52,537.32 × 12,822
  4. Step 4: Simplify right side
    35,011.56x = 673,633,517.04
  5. Step 5: Solve for x
    x = 673,633,517.04/35,011.56
  6. Step 6: Final answer
    x = 19,240.32

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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.